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Finding the Fourth Proportional to 55,438.47, 83,165.94 and 20,375.40

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Solution

The fourth proportional to 55,438.47, 83,165.94 and 20,375.40 is: 30,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,438.47 : 83,165.94 = 20,375.40 : x
  2. Step 2: Convert to fraction form
    55,438.47/83,165.94 = 20,375.40/x
  3. Step 3: Cross multiply
    55,438.47x = 83,165.94 × 20,375.40
  4. Step 4: Simplify right side
    55,438.47x = 1,694,539,293.88
  5. Step 5: Solve for x
    x = 1,694,539,293.88/55,438.47
  6. Step 6: Final answer
    x = 30,566.13

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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.