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Finding the Fourth Proportional to 31,490.83, 47,238.29 and 10,432.29

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Solution

The fourth proportional to 31,490.83, 47,238.29 and 10,432.29 is: 15,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.83 : 47,238.29 = 10,432.29 : x
  2. Step 2: Convert to fraction form
    31,490.83/47,238.29 = 10,432.29/x
  3. Step 3: Cross multiply
    31,490.83x = 47,238.29 × 10,432.29
  4. Step 4: Simplify right side
    31,490.83x = 492,803,704.49
  5. Step 5: Solve for x
    x = 492,803,704.49/31,490.83
  6. Step 6: Final answer
    x = 15,649.12

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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.