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Finding the Fourth Proportional to 31,041.38, 46,562.07 and 7,668.26

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Solution

The fourth proportional to 31,041.38, 46,562.07 and 7,668.26 is: 11,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.38 : 46,562.07 = 7,668.26 : x
  2. Step 2: Convert to fraction form
    31,041.38/46,562.07 = 7,668.26/x
  3. Step 3: Cross multiply
    31,041.38x = 46,562.07 × 7,668.26
  4. Step 4: Simplify right side
    31,041.38x = 357,050,058.90
  5. Step 5: Solve for x
    x = 357,050,058.90/31,041.38
  6. Step 6: Final answer
    x = 11,502.39

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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.