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Finding the Fourth Proportional to 92,098.53, 127,085.64 and 51,811.44

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Solution

The fourth proportional to 92,098.53, 127,085.64 and 51,811.44 is: 71,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,098.53 : 127,085.64 = 51,811.44 : x
  2. Step 2: Convert to fraction form
    92,098.53/127,085.64 = 51,811.44/x
  3. Step 3: Cross multiply
    92,098.53x = 127,085.64 × 51,811.44
  4. Step 4: Simplify right side
    92,098.53x = 6,584,490,011.72
  5. Step 5: Solve for x
    x = 6,584,490,011.72/92,098.53
  6. Step 6: Final answer
    x = 71,493.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.