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Finding the Fourth Proportional to 91,423.17, 137,151 and 32,293.17

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Solution

The fourth proportional to 91,423.17, 137,151 and 32,293.17 is: 48,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,423.17 : 137,151 = 32,293.17 : x
  2. Step 2: Convert to fraction form
    91,423.17/137,151 = 32,293.17/x
  3. Step 3: Cross multiply
    91,423.17x = 137,151 × 32,293.17
  4. Step 4: Simplify right side
    91,423.17x = 4,429,040,558.67
  5. Step 5: Solve for x
    x = 4,429,040,558.67/91,423.17
  6. Step 6: Final answer
    x = 48,445.49

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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.