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Finding the Fourth Proportional to 31,353.76, 47,032.20 and 10,285.28

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Solution

The fourth proportional to 31,353.76, 47,032.20 and 10,285.28 is: 15,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.76 : 47,032.20 = 10,285.28 : x
  2. Step 2: Convert to fraction form
    31,353.76/47,032.20 = 10,285.28/x
  3. Step 3: Cross multiply
    31,353.76x = 47,032.20 × 10,285.28
  4. Step 4: Simplify right side
    31,353.76x = 483,739,346.02
  5. Step 5: Solve for x
    x = 483,739,346.02/31,353.76
  6. Step 6: Final answer
    x = 15,428.43

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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.