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Finding the Fourth Proportional to 56,900.80, 85,357.12 and 21,869.76

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Solution

The fourth proportional to 56,900.80, 85,357.12 and 21,869.76 is: 32,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,900.80 : 85,357.12 = 21,869.76 : x
  2. Step 2: Convert to fraction form
    56,900.80/85,357.12 = 21,869.76/x
  3. Step 3: Cross multiply
    56,900.80x = 85,357.12 × 21,869.76
  4. Step 4: Simplify right side
    56,900.80x = 1,866,739,728.69
  5. Step 5: Solve for x
    x = 1,866,739,728.69/56,900.80
  6. Step 6: Final answer
    x = 32,806.92

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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.