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Finding the Fourth Proportional to 31,409.96, 47,121.89 and 10,349.15

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Solution

The fourth proportional to 31,409.96, 47,121.89 and 10,349.15 is: 15,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.96 : 47,121.89 = 10,349.15 : x
  2. Step 2: Convert to fraction form
    31,409.96/47,121.89 = 10,349.15/x
  3. Step 3: Cross multiply
    31,409.96x = 47,121.89 × 10,349.15
  4. Step 4: Simplify right side
    31,409.96x = 487,671,625.70
  5. Step 5: Solve for x
    x = 487,671,625.70/31,409.96
  6. Step 6: Final answer
    x = 15,526.02

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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.