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Finding the Fourth Proportional to 59,428.84, 82,008.24 and 32,566

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Solution

The fourth proportional to 59,428.84, 82,008.24 and 32,566 is: 44,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,428.84 : 82,008.24 = 32,566 : x
  2. Step 2: Convert to fraction form
    59,428.84/82,008.24 = 32,566/x
  3. Step 3: Cross multiply
    59,428.84x = 82,008.24 × 32,566
  4. Step 4: Simplify right side
    59,428.84x = 2,670,680,343.84
  5. Step 5: Solve for x
    x = 2,670,680,343.84/59,428.84
  6. Step 6: Final answer
    x = 44,939.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.