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Finding the Fourth Proportional to 31,169.40, 46,737.48 and 13,618.68

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Solution

The fourth proportional to 31,169.40, 46,737.48 and 13,618.68 is: 20,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.40 : 46,737.48 = 13,618.68 : x
  2. Step 2: Convert to fraction form
    31,169.40/46,737.48 = 13,618.68/x
  3. Step 3: Cross multiply
    31,169.40x = 46,737.48 × 13,618.68
  4. Step 4: Simplify right side
    31,169.40x = 636,502,784.13
  5. Step 5: Solve for x
    x = 636,502,784.13/31,169.40
  6. Step 6: Final answer
    x = 20,420.76

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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.