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Finding the Fourth Proportional to 67,780.78, 101,646.06 and 23,395.48

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Solution

The fourth proportional to 67,780.78, 101,646.06 and 23,395.48 is: 35,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,780.78 : 101,646.06 = 23,395.48 : x
  2. Step 2: Convert to fraction form
    67,780.78/101,646.06 = 23,395.48/x
  3. Step 3: Cross multiply
    67,780.78x = 101,646.06 × 23,395.48
  4. Step 4: Simplify right side
    67,780.78x = 2,378,058,363.81
  5. Step 5: Solve for x
    x = 2,378,058,363.81/67,780.78
  6. Step 6: Final answer
    x = 35,084.55

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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.