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Finding the Fourth Proportional to 80,262, 120,399.08 and 24,097.76

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Solution

The fourth proportional to 80,262, 120,399.08 and 24,097.76 is: 36,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,262 : 120,399.08 = 24,097.76 : x
  2. Step 2: Convert to fraction form
    80,262/120,399.08 = 24,097.76/x
  3. Step 3: Cross multiply
    80,262x = 120,399.08 × 24,097.76
  4. Step 4: Simplify right side
    80,262x = 2,901,348,134.06
  5. Step 5: Solve for x
    x = 2,901,348,134.06/80,262
  6. Step 6: Final answer
    x = 36,148.47

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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.