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Finding the Fourth Proportional to 48,912.66, 73,361.16 and 13,854.78

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Solution

The fourth proportional to 48,912.66, 73,361.16 and 13,854.78 is: 20,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,912.66 : 73,361.16 = 13,854.78 : x
  2. Step 2: Convert to fraction form
    48,912.66/73,361.16 = 13,854.78/x
  3. Step 3: Cross multiply
    48,912.66x = 73,361.16 × 13,854.78
  4. Step 4: Simplify right side
    48,912.66x = 1,016,402,732.34
  5. Step 5: Solve for x
    x = 1,016,402,732.34/48,912.66
  6. Step 6: Final answer
    x = 20,779.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.