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Finding the Fourth Proportional to 91,881.49, 137,734.74 and 29,508.25

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Solution

The fourth proportional to 91,881.49, 137,734.74 and 29,508.25 is: 44,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,881.49 : 137,734.74 = 29,508.25 : x
  2. Step 2: Convert to fraction form
    91,881.49/137,734.74 = 29,508.25/x
  3. Step 3: Cross multiply
    91,881.49x = 137,734.74 × 29,508.25
  4. Step 4: Simplify right side
    91,881.49x = 4,064,311,141.61
  5. Step 5: Solve for x
    x = 4,064,311,141.61/91,881.49
  6. Step 6: Final answer
    x = 44,234.28

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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.