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Finding the Fourth Proportional to 125,096.16, 187,672.32 and 41,988

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Solution

The fourth proportional to 125,096.16, 187,672.32 and 41,988 is: 62,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,096.16 : 187,672.32 = 41,988 : x
  2. Step 2: Convert to fraction form
    125,096.16/187,672.32 = 41,988/x
  3. Step 3: Cross multiply
    125,096.16x = 187,672.32 × 41,988
  4. Step 4: Simplify right side
    125,096.16x = 7,879,985,372.16
  5. Step 5: Solve for x
    x = 7,879,985,372.16/125,096.16
  6. Step 6: Final answer
    x = 62,991.42

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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.