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Finding the Fourth Proportional to 74,458.94, 111,702.25 and 24,542.55

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Solution

The fourth proportional to 74,458.94, 111,702.25 and 24,542.55 is: 36,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458.94 : 111,702.25 = 24,542.55 : x
  2. Step 2: Convert to fraction form
    74,458.94/111,702.25 = 24,542.55/x
  3. Step 3: Cross multiply
    74,458.94x = 111,702.25 × 24,542.55
  4. Step 4: Simplify right side
    74,458.94x = 2,741,457,435.87
  5. Step 5: Solve for x
    x = 2,741,457,435.87/74,458.94
  6. Step 6: Final answer
    x = 36,818.38

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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.