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Finding the Fourth Proportional to 75,502.53, 113,254.48 and 22,912.02

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Solution

The fourth proportional to 75,502.53, 113,254.48 and 22,912.02 is: 34,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,502.53 : 113,254.48 = 22,912.02 : x
  2. Step 2: Convert to fraction form
    75,502.53/113,254.48 = 22,912.02/x
  3. Step 3: Cross multiply
    75,502.53x = 113,254.48 × 22,912.02
  4. Step 4: Simplify right side
    75,502.53x = 2,594,888,910.85
  5. Step 5: Solve for x
    x = 2,594,888,910.85/75,502.53
  6. Step 6: Final answer
    x = 34,368.24

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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.