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Finding the Fourth Proportional to 31,530.86, 47,301.15 and 10,749.50

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Solution

The fourth proportional to 31,530.86, 47,301.15 and 10,749.50 is: 16,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.86 : 47,301.15 = 10,749.50 : x
  2. Step 2: Convert to fraction form
    31,530.86/47,301.15 = 10,749.50/x
  3. Step 3: Cross multiply
    31,530.86x = 47,301.15 × 10,749.50
  4. Step 4: Simplify right side
    31,530.86x = 508,463,711.93
  5. Step 5: Solve for x
    x = 508,463,711.93/31,530.86
  6. Step 6: Final answer
    x = 16,125.91

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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.