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Finding the Fourth Proportional to 65,298.69, 97,957.40 and 24,787.15

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Solution

The fourth proportional to 65,298.69, 97,957.40 and 24,787.15 is: 37,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.69 : 97,957.40 = 24,787.15 : x
  2. Step 2: Convert to fraction form
    65,298.69/97,957.40 = 24,787.15/x
  3. Step 3: Cross multiply
    65,298.69x = 97,957.40 × 24,787.15
  4. Step 4: Simplify right side
    65,298.69x = 2,428,084,398.58
  5. Step 5: Solve for x
    x = 2,428,084,398.58/65,298.69
  6. Step 6: Final answer
    x = 37,184.27

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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.