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Finding the Fourth Proportional to 31,294.98, 46,663.29 and 27,817.65

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Solution

The fourth proportional to 31,294.98, 46,663.29 and 27,817.65 is: 41,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.98 : 46,663.29 = 27,817.65 : x
  2. Step 2: Convert to fraction form
    31,294.98/46,663.29 = 27,817.65/x
  3. Step 3: Cross multiply
    31,294.98x = 46,663.29 × 27,817.65
  4. Step 4: Simplify right side
    31,294.98x = 1,298,063,069.07
  5. Step 5: Solve for x
    x = 1,298,063,069.07/31,294.98
  6. Step 6: Final answer
    x = 41,478.32

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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.