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Finding the Fourth Proportional to 55,417.94, 83,129.38 and 20,338.46

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Solution

The fourth proportional to 55,417.94, 83,129.38 and 20,338.46 is: 30,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,417.94 : 83,129.38 = 20,338.46 : x
  2. Step 2: Convert to fraction form
    55,417.94/83,129.38 = 20,338.46/x
  3. Step 3: Cross multiply
    55,417.94x = 83,129.38 × 20,338.46
  4. Step 4: Simplify right side
    55,417.94x = 1,690,723,569.95
  5. Step 5: Solve for x
    x = 1,690,723,569.95/55,417.94
  6. Step 6: Final answer
    x = 30,508.60

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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.