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Finding the Fourth Proportional to 91,827.40, 137,728.02 and 29,489.80

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Solution

The fourth proportional to 91,827.40, 137,728.02 and 29,489.80 is: 44,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,827.40 : 137,728.02 = 29,489.80 : x
  2. Step 2: Convert to fraction form
    91,827.40/137,728.02 = 29,489.80/x
  3. Step 3: Cross multiply
    91,827.40x = 137,728.02 × 29,489.80
  4. Step 4: Simplify right side
    91,827.40x = 4,061,571,764.20
  5. Step 5: Solve for x
    x = 4,061,571,764.20/91,827.40
  6. Step 6: Final answer
    x = 44,230.50

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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.