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Finding the Fourth Proportional to 57,169.61, 78,868.93 and 34,495.96

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Solution

The fourth proportional to 57,169.61, 78,868.93 and 34,495.96 is: 47,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.61 : 78,868.93 = 34,495.96 : x
  2. Step 2: Convert to fraction form
    57,169.61/78,868.93 = 34,495.96/x
  3. Step 3: Cross multiply
    57,169.61x = 78,868.93 × 34,495.96
  4. Step 4: Simplify right side
    57,169.61x = 2,720,659,454.52
  5. Step 5: Solve for x
    x = 2,720,659,454.52/57,169.61
  6. Step 6: Final answer
    x = 47,589.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.