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Finding the Fourth Proportional to 53,211.94, 73,432.78 and 29,338.20

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Solution

The fourth proportional to 53,211.94, 73,432.78 and 29,338.20 is: 40,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,211.94 : 73,432.78 = 29,338.20 : x
  2. Step 2: Convert to fraction form
    53,211.94/73,432.78 = 29,338.20/x
  3. Step 3: Cross multiply
    53,211.94x = 73,432.78 × 29,338.20
  4. Step 4: Simplify right side
    53,211.94x = 2,154,385,512.85
  5. Step 5: Solve for x
    x = 2,154,385,512.85/53,211.94
  6. Step 6: Final answer
    x = 40,486.88

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