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Finding the Fourth Proportional to 50,499, 75,780.90 and 22,797

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Solution

The fourth proportional to 50,499, 75,780.90 and 22,797 is: 34,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,499 : 75,780.90 = 22,797 : x
  2. Step 2: Convert to fraction form
    50,499/75,780.90 = 22,797/x
  3. Step 3: Cross multiply
    50,499x = 75,780.90 × 22,797
  4. Step 4: Simplify right side
    50,499x = 1,727,577,177.30
  5. Step 5: Solve for x
    x = 1,727,577,177.30/50,499
  6. Step 6: Final answer
    x = 34,210.13

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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.