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Finding the Fourth Proportional to 31,708.02, 47,562.03 and 8,332.50

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Solution

The fourth proportional to 31,708.02, 47,562.03 and 8,332.50 is: 12,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.02 : 47,562.03 = 8,332.50 : x
  2. Step 2: Convert to fraction form
    31,708.02/47,562.03 = 8,332.50/x
  3. Step 3: Cross multiply
    31,708.02x = 47,562.03 × 8,332.50
  4. Step 4: Simplify right side
    31,708.02x = 396,310,614.98
  5. Step 5: Solve for x
    x = 396,310,614.98/31,708.02
  6. Step 6: Final answer
    x = 12,498.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.