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Finding the Fourth Proportional to 52,100.72, 78,160.76 and 17,042.24

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Solution

The fourth proportional to 52,100.72, 78,160.76 and 17,042.24 is: 25,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100.72 : 78,160.76 = 17,042.24 : x
  2. Step 2: Convert to fraction form
    52,100.72/78,160.76 = 17,042.24/x
  3. Step 3: Cross multiply
    52,100.72x = 78,160.76 × 17,042.24
  4. Step 4: Simplify right side
    52,100.72x = 1,332,034,430.50
  5. Step 5: Solve for x
    x = 1,332,034,430.50/52,100.72
  6. Step 6: Final answer
    x = 25,566.53

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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.