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Finding the Fourth Proportional to 95,124.33, 142,692.65 and 31,941.90

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Solution

The fourth proportional to 95,124.33, 142,692.65 and 31,941.90 is: 47,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,124.33 : 142,692.65 = 31,941.90 : x
  2. Step 2: Convert to fraction form
    95,124.33/142,692.65 = 31,941.90/x
  3. Step 3: Cross multiply
    95,124.33x = 142,692.65 × 31,941.90
  4. Step 4: Simplify right side
    95,124.33x = 4,557,874,357.04
  5. Step 5: Solve for x
    x = 4,557,874,357.04/95,124.33
  6. Step 6: Final answer
    x = 47,914.92

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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.