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Finding the Fourth Proportional to 71,469, 107,203.50 and 48,957.48

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Solution

The fourth proportional to 71,469, 107,203.50 and 48,957.48 is: 73,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469 : 107,203.50 = 48,957.48 : x
  2. Step 2: Convert to fraction form
    71,469/107,203.50 = 48,957.48/x
  3. Step 3: Cross multiply
    71,469x = 107,203.50 × 48,957.48
  4. Step 4: Simplify right side
    71,469x = 5,248,413,207.18
  5. Step 5: Solve for x
    x = 5,248,413,207.18/71,469
  6. Step 6: Final answer
    x = 73,436.22

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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.