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Finding the Fourth Proportional to 91,855.90, 137,742.29 and 32,693.14

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Solution

The fourth proportional to 91,855.90, 137,742.29 and 32,693.14 is: 49,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,855.90 : 137,742.29 = 32,693.14 : x
  2. Step 2: Convert to fraction form
    91,855.90/137,742.29 = 32,693.14/x
  3. Step 3: Cross multiply
    91,855.90x = 137,742.29 × 32,693.14
  4. Step 4: Simplify right side
    91,855.90x = 4,503,227,118.71
  5. Step 5: Solve for x
    x = 4,503,227,118.71/91,855.90
  6. Step 6: Final answer
    x = 49,024.91

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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.