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Finding the Fourth Proportional to 48,645.80, 72,932.22 and 20,598.74

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Solution

The fourth proportional to 48,645.80, 72,932.22 and 20,598.74 is: 30,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.80 : 72,932.22 = 20,598.74 : x
  2. Step 2: Convert to fraction form
    48,645.80/72,932.22 = 20,598.74/x
  3. Step 3: Cross multiply
    48,645.80x = 72,932.22 × 20,598.74
  4. Step 4: Simplify right side
    48,645.80x = 1,502,311,837.40
  5. Step 5: Solve for x
    x = 1,502,311,837.40/48,645.80
  6. Step 6: Final answer
    x = 30,882.66

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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.