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Finding the Fourth Proportional to 77,265.76, 115,824.64 and 24,641.16

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Solution

The fourth proportional to 77,265.76, 115,824.64 and 24,641.16 is: 36,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,265.76 : 115,824.64 = 24,641.16 : x
  2. Step 2: Convert to fraction form
    77,265.76/115,824.64 = 24,641.16/x
  3. Step 3: Cross multiply
    77,265.76x = 115,824.64 × 24,641.16
  4. Step 4: Simplify right side
    77,265.76x = 2,854,053,486.18
  5. Step 5: Solve for x
    x = 2,854,053,486.18/77,265.76
  6. Step 6: Final answer
    x = 36,938.14

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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.