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Finding the Fourth Proportional to 31,123.44, 46,646.28 and 20,000.52

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Solution

The fourth proportional to 31,123.44, 46,646.28 and 20,000.52 is: 29,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123.44 : 46,646.28 = 20,000.52 : x
  2. Step 2: Convert to fraction form
    31,123.44/46,646.28 = 20,000.52/x
  3. Step 3: Cross multiply
    31,123.44x = 46,646.28 × 20,000.52
  4. Step 4: Simplify right side
    31,123.44x = 932,949,856.07
  5. Step 5: Solve for x
    x = 932,949,856.07/31,123.44
  6. Step 6: Final answer
    x = 29,975.79

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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.