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Finding the Fourth Proportional to 91,881.84, 137,822.76 and 29,561.52

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Solution

The fourth proportional to 91,881.84, 137,822.76 and 29,561.52 is: 44,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,881.84 : 137,822.76 = 29,561.52 : x
  2. Step 2: Convert to fraction form
    91,881.84/137,822.76 = 29,561.52/x
  3. Step 3: Cross multiply
    91,881.84x = 137,822.76 × 29,561.52
  4. Step 4: Simplify right side
    91,881.84x = 4,074,250,276.20
  5. Step 5: Solve for x
    x = 4,074,250,276.20/91,881.84
  6. Step 6: Final answer
    x = 44,342.28

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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.