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Finding the Fourth Proportional to 80,756.64, 121,120.64 and 24,583.20

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Solution

The fourth proportional to 80,756.64, 121,120.64 and 24,583.20 is: 36,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,756.64 : 121,120.64 = 24,583.20 : x
  2. Step 2: Convert to fraction form
    80,756.64/121,120.64 = 24,583.20/x
  3. Step 3: Cross multiply
    80,756.64x = 121,120.64 × 24,583.20
  4. Step 4: Simplify right side
    80,756.64x = 2,977,532,917.25
  5. Step 5: Solve for x
    x = 2,977,532,917.25/80,756.64
  6. Step 6: Final answer
    x = 36,870.44

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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.