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Finding the Fourth Proportional to 42,966.49, 64,447.17 and 25,547.17

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Solution

The fourth proportional to 42,966.49, 64,447.17 and 25,547.17 is: 38,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,966.49 : 64,447.17 = 25,547.17 : x
  2. Step 2: Convert to fraction form
    42,966.49/64,447.17 = 25,547.17/x
  3. Step 3: Cross multiply
    42,966.49x = 64,447.17 × 25,547.17
  4. Step 4: Simplify right side
    42,966.49x = 1,646,442,808.01
  5. Step 5: Solve for x
    x = 1,646,442,808.01/42,966.49
  6. Step 6: Final answer
    x = 38,319.23

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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.