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Finding the Fourth Proportional to 55,338.80, 82,924 and 40,557.52

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Solution

The fourth proportional to 55,338.80, 82,924 and 40,557.52 is: 60,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,338.80 : 82,924 = 40,557.52 : x
  2. Step 2: Convert to fraction form
    55,338.80/82,924 = 40,557.52/x
  3. Step 3: Cross multiply
    55,338.80x = 82,924 × 40,557.52
  4. Step 4: Simplify right side
    55,338.80x = 3,363,191,788.48
  5. Step 5: Solve for x
    x = 3,363,191,788.48/55,338.80
  6. Step 6: Final answer
    x = 60,774.57

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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.