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Finding the Fourth Proportional to 67,524, 101,029 and 40,771.52

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Solution

The fourth proportional to 67,524, 101,029 and 40,771.52 is: 61,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,524 : 101,029 = 40,771.52 : x
  2. Step 2: Convert to fraction form
    67,524/101,029 = 40,771.52/x
  3. Step 3: Cross multiply
    67,524x = 101,029 × 40,771.52
  4. Step 4: Simplify right side
    67,524x = 4,119,105,894.08
  5. Step 5: Solve for x
    x = 4,119,105,894.08/67,524
  6. Step 6: Final answer
    x = 61,002.10

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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.