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Finding the Fourth Proportional to 42,962.49, 64,441.17 and 25,543.17

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Solution

The fourth proportional to 42,962.49, 64,441.17 and 25,543.17 is: 38,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,962.49 : 64,441.17 = 25,543.17 : x
  2. Step 2: Convert to fraction form
    42,962.49/64,441.17 = 25,543.17/x
  3. Step 3: Cross multiply
    42,962.49x = 64,441.17 × 25,543.17
  4. Step 4: Simplify right side
    42,962.49x = 1,646,031,760.31
  5. Step 5: Solve for x
    x = 1,646,031,760.31/42,962.49
  6. Step 6: Final answer
    x = 38,313.23

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