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Finding the Fourth Proportional to 31,859.52, 47,799 and 16,288.08

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Solution

The fourth proportional to 31,859.52, 47,799 and 16,288.08 is: 24,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.52 : 47,799 = 16,288.08 : x
  2. Step 2: Convert to fraction form
    31,859.52/47,799 = 16,288.08/x
  3. Step 3: Cross multiply
    31,859.52x = 47,799 × 16,288.08
  4. Step 4: Simplify right side
    31,859.52x = 778,553,935.92
  5. Step 5: Solve for x
    x = 778,553,935.92/31,859.52
  6. Step 6: Final answer
    x = 24,437.09

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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.