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Finding the Fourth Proportional to 73,641.60, 110,462.40 and 42,451.20

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Solution

The fourth proportional to 73,641.60, 110,462.40 and 42,451.20 is: 63,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,641.60 : 110,462.40 = 42,451.20 : x
  2. Step 2: Convert to fraction form
    73,641.60/110,462.40 = 42,451.20/x
  3. Step 3: Cross multiply
    73,641.60x = 110,462.40 × 42,451.20
  4. Step 4: Simplify right side
    73,641.60x = 4,689,261,434.88
  5. Step 5: Solve for x
    x = 4,689,261,434.88/73,641.60
  6. Step 6: Final answer
    x = 63,676.80

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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.