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Finding the Fourth Proportional to 31,063.52, 42,866.19 and 17,633.00

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Solution

The fourth proportional to 31,063.52, 42,866.19 and 17,633.00 is: 24,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.52 : 42,866.19 = 17,633.00 : x
  2. Step 2: Convert to fraction form
    31,063.52/42,866.19 = 17,633.00/x
  3. Step 3: Cross multiply
    31,063.52x = 42,866.19 × 17,633.00
  4. Step 4: Simplify right side
    31,063.52x = 755,859,313.94
  5. Step 5: Solve for x
    x = 755,859,313.94/31,063.52
  6. Step 6: Final answer
    x = 24,332.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.