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Finding the Fourth Proportional to 50,149.80, 75,113.78 and 20,477.66

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Solution

The fourth proportional to 50,149.80, 75,113.78 and 20,477.66 is: 30,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,149.80 : 75,113.78 = 20,477.66 : x
  2. Step 2: Convert to fraction form
    50,149.80/75,113.78 = 20,477.66/x
  3. Step 3: Cross multiply
    50,149.80x = 75,113.78 × 20,477.66
  4. Step 4: Simplify right side
    50,149.80x = 1,538,153,970.20
  5. Step 5: Solve for x
    x = 1,538,153,970.20/50,149.80
  6. Step 6: Final answer
    x = 30,671.19

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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.