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Finding the Fourth Proportional to 80,955.68, 121,440 and 24,800.24

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Solution

The fourth proportional to 80,955.68, 121,440 and 24,800.24 is: 37,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,955.68 : 121,440 = 24,800.24 : x
  2. Step 2: Convert to fraction form
    80,955.68/121,440 = 24,800.24/x
  3. Step 3: Cross multiply
    80,955.68x = 121,440 × 24,800.24
  4. Step 4: Simplify right side
    80,955.68x = 3,011,741,145.60
  5. Step 5: Solve for x
    x = 3,011,741,145.60/80,955.68
  6. Step 6: Final answer
    x = 37,202.35

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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.