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Finding the Fourth Proportional to 52,112.16, 71,914.50 and 28,238.22

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Solution

The fourth proportional to 52,112.16, 71,914.50 and 28,238.22 is: 38,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112.16 : 71,914.50 = 28,238.22 : x
  2. Step 2: Convert to fraction form
    52,112.16/71,914.50 = 28,238.22/x
  3. Step 3: Cross multiply
    52,112.16x = 71,914.50 × 28,238.22
  4. Step 4: Simplify right side
    52,112.16x = 2,030,737,472.19
  5. Step 5: Solve for x
    x = 2,030,737,472.19/52,112.16
  6. Step 6: Final answer
    x = 38,968.59

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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.