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Finding the Fourth Proportional to 73,876.60, 110,814.90 and 42,675.40

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Solution

The fourth proportional to 73,876.60, 110,814.90 and 42,675.40 is: 64,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.60 : 110,814.90 = 42,675.40 : x
  2. Step 2: Convert to fraction form
    73,876.60/110,814.90 = 42,675.40/x
  3. Step 3: Cross multiply
    73,876.60x = 110,814.90 × 42,675.40
  4. Step 4: Simplify right side
    73,876.60x = 4,729,070,183.46
  5. Step 5: Solve for x
    x = 4,729,070,183.46/73,876.60
  6. Step 6: Final answer
    x = 64,013.10

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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.