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Finding the Fourth Proportional to 31,158.66, 46,499.52 and 27,834.42

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Solution

The fourth proportional to 31,158.66, 46,499.52 and 27,834.42 is: 41,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158.66 : 46,499.52 = 27,834.42 : x
  2. Step 2: Convert to fraction form
    31,158.66/46,499.52 = 27,834.42/x
  3. Step 3: Cross multiply
    31,158.66x = 46,499.52 × 27,834.42
  4. Step 4: Simplify right side
    31,158.66x = 1,294,287,169.48
  5. Step 5: Solve for x
    x = 1,294,287,169.48/31,158.66
  6. Step 6: Final answer
    x = 41,538.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.