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Finding the Fourth Proportional to 76,642,702.60, 114,965,687.40 and 27,461,768.44

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Solution

The fourth proportional to 76,642,702.60, 114,965,687.40 and 27,461,768.44 is: 41,193,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642,702.60 : 114,965,687.40 = 27,461,768.44 : x
  2. Step 2: Convert to fraction form
    76,642,702.60/114,965,687.40 = 27,461,768.44/x
  3. Step 3: Cross multiply
    76,642,702.60x = 114,965,687.40 × 27,461,768.44
  4. Step 4: Simplify right side
    76,642,702.60x = 3,157,161,085,924,226
  5. Step 5: Solve for x
    x = 3,157,161,085,924,226/76,642,702.60
  6. Step 6: Final answer
    x = 41,193,237.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.