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Finding the Fourth Proportional to 31,002.68, 42,782.49 and 16,855.53

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Solution

The fourth proportional to 31,002.68, 42,782.49 and 16,855.53 is: 23,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.68 : 42,782.49 = 16,855.53 : x
  2. Step 2: Convert to fraction form
    31,002.68/42,782.49 = 16,855.53/x
  3. Step 3: Cross multiply
    31,002.68x = 42,782.49 × 16,855.53
  4. Step 4: Simplify right side
    31,002.68x = 721,121,543.67
  5. Step 5: Solve for x
    x = 721,121,543.67/31,002.68
  6. Step 6: Final answer
    x = 23,259.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.