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Finding the Fourth Proportional to 31,294.47, 46,662.53 and 27,817.14

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Solution

The fourth proportional to 31,294.47, 46,662.53 and 27,817.14 is: 41,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.47 : 46,662.53 = 27,817.14 : x
  2. Step 2: Convert to fraction form
    31,294.47/46,662.53 = 27,817.14/x
  3. Step 3: Cross multiply
    31,294.47x = 46,662.53 × 27,817.14
  4. Step 4: Simplify right side
    31,294.47x = 1,298,018,129.76
  5. Step 5: Solve for x
    x = 1,298,018,129.76/31,294.47
  6. Step 6: Final answer
    x = 41,477.56

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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.