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Finding the Fourth Proportional to 38,753.64, 58,122.78 and 10,666.50

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Solution

The fourth proportional to 38,753.64, 58,122.78 and 10,666.50 is: 15,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,753.64 : 58,122.78 = 10,666.50 : x
  2. Step 2: Convert to fraction form
    38,753.64/58,122.78 = 10,666.50/x
  3. Step 3: Cross multiply
    38,753.64x = 58,122.78 × 10,666.50
  4. Step 4: Simplify right side
    38,753.64x = 619,966,632.87
  5. Step 5: Solve for x
    x = 619,966,632.87/38,753.64
  6. Step 6: Final answer
    x = 15,997.64

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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.