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Finding the Fourth Proportional to 29,478.40, 44,173.76 and 22,872

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Solution

The fourth proportional to 29,478.40, 44,173.76 and 22,872 is: 34,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.40 : 44,173.76 = 22,872 : x
  2. Step 2: Convert to fraction form
    29,478.40/44,173.76 = 22,872/x
  3. Step 3: Cross multiply
    29,478.40x = 44,173.76 × 22,872
  4. Step 4: Simplify right side
    29,478.40x = 1,010,342,238.72
  5. Step 5: Solve for x
    x = 1,010,342,238.72/29,478.40
  6. Step 6: Final answer
    x = 34,273.98

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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.