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Finding the Fourth Proportional to 67,413, 93,024.18 and 43,540.68

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Solution

The fourth proportional to 67,413, 93,024.18 and 43,540.68 is: 60,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,413 : 93,024.18 = 43,540.68 : x
  2. Step 2: Convert to fraction form
    67,413/93,024.18 = 43,540.68/x
  3. Step 3: Cross multiply
    67,413x = 93,024.18 × 43,540.68
  4. Step 4: Simplify right side
    67,413x = 4,050,336,053.64
  5. Step 5: Solve for x
    x = 4,050,336,053.64/67,413
  6. Step 6: Final answer
    x = 60,082.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.