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Finding the Fourth Proportional to 61,517.81, 92,243.90 and 31,862.09

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Solution

The fourth proportional to 61,517.81, 92,243.90 and 31,862.09 is: 47,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517.81 : 92,243.90 = 31,862.09 : x
  2. Step 2: Convert to fraction form
    61,517.81/92,243.90 = 31,862.09/x
  3. Step 3: Cross multiply
    61,517.81x = 92,243.90 × 31,862.09
  4. Step 4: Simplify right side
    61,517.81x = 2,939,082,823.22
  5. Step 5: Solve for x
    x = 2,939,082,823.22/61,517.81
  6. Step 6: Final answer
    x = 47,776.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.