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Finding the Fourth Proportional to 50,214.74, 75,294.77 and 32,442.93

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Solution

The fourth proportional to 50,214.74, 75,294.77 and 32,442.93 is: 48,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214.74 : 75,294.77 = 32,442.93 : x
  2. Step 2: Convert to fraction form
    50,214.74/75,294.77 = 32,442.93/x
  3. Step 3: Cross multiply
    50,214.74x = 75,294.77 × 32,442.93
  4. Step 4: Simplify right side
    50,214.74x = 2,442,782,790.26
  5. Step 5: Solve for x
    x = 2,442,782,790.26/50,214.74
  6. Step 6: Final answer
    x = 48,646.73

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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.