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Finding the Fourth Proportional to 80,967.01, 121,454.16 and 24,803.02

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Solution

The fourth proportional to 80,967.01, 121,454.16 and 24,803.02 is: 37,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967.01 : 121,454.16 = 24,803.02 : x
  2. Step 2: Convert to fraction form
    80,967.01/121,454.16 = 24,803.02/x
  3. Step 3: Cross multiply
    80,967.01x = 121,454.16 × 24,803.02
  4. Step 4: Simplify right side
    80,967.01x = 3,012,429,959.56
  5. Step 5: Solve for x
    x = 3,012,429,959.56/80,967.01
  6. Step 6: Final answer
    x = 37,205.65

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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.