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Finding the Fourth Proportional to 31,520.39, 47,291.39 and 10,758.47

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Solution

The fourth proportional to 31,520.39, 47,291.39 and 10,758.47 is: 16,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520.39 : 47,291.39 = 10,758.47 : x
  2. Step 2: Convert to fraction form
    31,520.39/47,291.39 = 10,758.47/x
  3. Step 3: Cross multiply
    31,520.39x = 47,291.39 × 10,758.47
  4. Step 4: Simplify right side
    31,520.39x = 508,782,946.78
  5. Step 5: Solve for x
    x = 508,782,946.78/31,520.39
  6. Step 6: Final answer
    x = 16,141.39

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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.