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Finding the Fourth Proportional to 52,112.62, 71,915.47 and 28,239.08

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Solution

The fourth proportional to 52,112.62, 71,915.47 and 28,239.08 is: 38,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112.62 : 71,915.47 = 28,239.08 : x
  2. Step 2: Convert to fraction form
    52,112.62/71,915.47 = 28,239.08/x
  3. Step 3: Cross multiply
    52,112.62x = 71,915.47 × 28,239.08
  4. Step 4: Simplify right side
    52,112.62x = 2,030,826,764.34
  5. Step 5: Solve for x
    x = 2,030,826,764.34/52,112.62
  6. Step 6: Final answer
    x = 38,969.96

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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.