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Finding the Fourth Proportional to 76,487.60, 114,743.82 and 26,597.28

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Solution

The fourth proportional to 76,487.60, 114,743.82 and 26,597.28 is: 39,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.60 : 114,743.82 = 26,597.28 : x
  2. Step 2: Convert to fraction form
    76,487.60/114,743.82 = 26,597.28/x
  3. Step 3: Cross multiply
    76,487.60x = 114,743.82 × 26,597.28
  4. Step 4: Simplify right side
    76,487.60x = 3,051,873,508.81
  5. Step 5: Solve for x
    x = 3,051,873,508.81/76,487.60
  6. Step 6: Final answer
    x = 39,900.24

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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.