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Finding the Fourth Proportional to 74,041.52, 111,073.80 and 24,782

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Solution

The fourth proportional to 74,041.52, 111,073.80 and 24,782 is: 37,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,041.52 : 111,073.80 = 24,782 : x
  2. Step 2: Convert to fraction form
    74,041.52/111,073.80 = 24,782/x
  3. Step 3: Cross multiply
    74,041.52x = 111,073.80 × 24,782
  4. Step 4: Simplify right side
    74,041.52x = 2,752,630,911.60
  5. Step 5: Solve for x
    x = 2,752,630,911.60/74,041.52
  6. Step 6: Final answer
    x = 37,176.86

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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.