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Finding the Fourth Proportional to 91,825.84, 137,733.90 and 29,491.48

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Solution

The fourth proportional to 91,825.84, 137,733.90 and 29,491.48 is: 44,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,825.84 : 137,733.90 = 29,491.48 : x
  2. Step 2: Convert to fraction form
    91,825.84/137,733.90 = 29,491.48/x
  3. Step 3: Cross multiply
    91,825.84x = 137,733.90 × 29,491.48
  4. Step 4: Simplify right side
    91,825.84x = 4,061,976,557.17
  5. Step 5: Solve for x
    x = 4,061,976,557.17/91,825.84
  6. Step 6: Final answer
    x = 44,235.66

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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.