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Finding the Fourth Proportional to 92,513.69, 138,658.78 and 45,057.66

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Solution

The fourth proportional to 92,513.69, 138,658.78 and 45,057.66 is: 67,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,513.69 : 138,658.78 = 45,057.66 : x
  2. Step 2: Convert to fraction form
    92,513.69/138,658.78 = 45,057.66/x
  3. Step 3: Cross multiply
    92,513.69x = 138,658.78 × 45,057.66
  4. Step 4: Simplify right side
    92,513.69x = 6,247,639,701.61
  5. Step 5: Solve for x
    x = 6,247,639,701.61/92,513.69
  6. Step 6: Final answer
    x = 67,532.06

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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.