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Finding the Fourth Proportional to 31,042.68, 46,562.80 and 7,668.52

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Solution

The fourth proportional to 31,042.68, 46,562.80 and 7,668.52 is: 11,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.68 : 46,562.80 = 7,668.52 : x
  2. Step 2: Convert to fraction form
    31,042.68/46,562.80 = 7,668.52/x
  3. Step 3: Cross multiply
    31,042.68x = 46,562.80 × 7,668.52
  4. Step 4: Simplify right side
    31,042.68x = 357,067,763.06
  5. Step 5: Solve for x
    x = 357,067,763.06/31,042.68
  6. Step 6: Final answer
    x = 11,502.48

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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.