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Finding the Fourth Proportional to 31,042.80, 46,565.91 and 8,854.47

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Solution

The fourth proportional to 31,042.80, 46,565.91 and 8,854.47 is: 13,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.80 : 46,565.91 = 8,854.47 : x
  2. Step 2: Convert to fraction form
    31,042.80/46,565.91 = 8,854.47/x
  3. Step 3: Cross multiply
    31,042.80x = 46,565.91 × 8,854.47
  4. Step 4: Simplify right side
    31,042.80x = 412,316,453.12
  5. Step 5: Solve for x
    x = 412,316,453.12/31,042.80
  6. Step 6: Final answer
    x = 13,282.19

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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.