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Finding the Fourth Proportional to 91,892.30, 137,862.74 and 49,753.66

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Solution

The fourth proportional to 91,892.30, 137,862.74 and 49,753.66 is: 74,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,892.30 : 137,862.74 = 49,753.66 : x
  2. Step 2: Convert to fraction form
    91,892.30/137,862.74 = 49,753.66/x
  3. Step 3: Cross multiply
    91,892.30x = 137,862.74 × 49,753.66
  4. Step 4: Simplify right side
    91,892.30x = 6,859,175,892.63
  5. Step 5: Solve for x
    x = 6,859,175,892.63/91,892.30
  6. Step 6: Final answer
    x = 74,643.64

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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.