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Finding the Fourth Proportional to 73,961.60, 110,942.40 and 42,468.80

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Solution

The fourth proportional to 73,961.60, 110,942.40 and 42,468.80 is: 63,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,961.60 : 110,942.40 = 42,468.80 : x
  2. Step 2: Convert to fraction form
    73,961.60/110,942.40 = 42,468.80/x
  3. Step 3: Cross multiply
    73,961.60x = 110,942.40 × 42,468.80
  4. Step 4: Simplify right side
    73,961.60x = 4,711,590,597.12
  5. Step 5: Solve for x
    x = 4,711,590,597.12/73,961.60
  6. Step 6: Final answer
    x = 63,703.20

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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.