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Finding the Fourth Proportional to 42,712.47, 64,024.13 and 14,624.25

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Solution

The fourth proportional to 42,712.47, 64,024.13 and 14,624.25 is: 21,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712.47 : 64,024.13 = 14,624.25 : x
  2. Step 2: Convert to fraction form
    42,712.47/64,024.13 = 14,624.25/x
  3. Step 3: Cross multiply
    42,712.47x = 64,024.13 × 14,624.25
  4. Step 4: Simplify right side
    42,712.47x = 936,304,810.03
  5. Step 5: Solve for x
    x = 936,304,810.03/42,712.47
  6. Step 6: Final answer
    x = 21,921.11

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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.