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Finding the Fourth Proportional to 91,765.84, 137,635.80 and 29,428.24

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Solution

The fourth proportional to 91,765.84, 137,635.80 and 29,428.24 is: 44,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,765.84 : 137,635.80 = 29,428.24 : x
  2. Step 2: Convert to fraction form
    91,765.84/137,635.80 = 29,428.24/x
  3. Step 3: Cross multiply
    91,765.84x = 137,635.80 × 29,428.24
  4. Step 4: Simplify right side
    91,765.84x = 4,050,379,354.99
  5. Step 5: Solve for x
    x = 4,050,379,354.99/91,765.84
  6. Step 6: Final answer
    x = 44,138.20

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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.