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Finding the Fourth Proportional to 42,541.56, 63,812.34 and 11,376

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Solution

The fourth proportional to 42,541.56, 63,812.34 and 11,376 is: 17,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,541.56 : 63,812.34 = 11,376 : x
  2. Step 2: Convert to fraction form
    42,541.56/63,812.34 = 11,376/x
  3. Step 3: Cross multiply
    42,541.56x = 63,812.34 × 11,376
  4. Step 4: Simplify right side
    42,541.56x = 725,929,179.84
  5. Step 5: Solve for x
    x = 725,929,179.84/42,541.56
  6. Step 6: Final answer
    x = 17,064

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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.