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Finding the Fourth Proportional to 52,469.78, 72,351.14 and 35,444.48

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Solution

The fourth proportional to 52,469.78, 72,351.14 and 35,444.48 is: 48,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,469.78 : 72,351.14 = 35,444.48 : x
  2. Step 2: Convert to fraction form
    52,469.78/72,351.14 = 35,444.48/x
  3. Step 3: Cross multiply
    52,469.78x = 72,351.14 × 35,444.48
  4. Step 4: Simplify right side
    52,469.78x = 2,564,448,534.71
  5. Step 5: Solve for x
    x = 2,564,448,534.71/52,469.78
  6. Step 6: Final answer
    x = 48,874.77

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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.