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Finding the Fourth Proportional to 31,200.47, 46,800.29 and 20,177.99

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Solution

The fourth proportional to 31,200.47, 46,800.29 and 20,177.99 is: 30,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.47 : 46,800.29 = 20,177.99 : x
  2. Step 2: Convert to fraction form
    31,200.47/46,800.29 = 20,177.99/x
  3. Step 3: Cross multiply
    31,200.47x = 46,800.29 × 20,177.99
  4. Step 4: Simplify right side
    31,200.47x = 944,335,600.06
  5. Step 5: Solve for x
    x = 944,335,600.06/31,200.47
  6. Step 6: Final answer
    x = 30,266.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.