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Finding the Fourth Proportional to 76,211.15, 105,177.84 and 42,230.29

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Solution

The fourth proportional to 76,211.15, 105,177.84 and 42,230.29 is: 58,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.15 : 105,177.84 = 42,230.29 : x
  2. Step 2: Convert to fraction form
    76,211.15/105,177.84 = 42,230.29/x
  3. Step 3: Cross multiply
    76,211.15x = 105,177.84 × 42,230.29
  4. Step 4: Simplify right side
    76,211.15x = 4,441,691,092.64
  5. Step 5: Solve for x
    x = 4,441,691,092.64/76,211.15
  6. Step 6: Final answer
    x = 58,281.38

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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.