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Finding the Fourth Proportional to 68,417.78, 102,642.06 and 24,047.60

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Solution

The fourth proportional to 68,417.78, 102,642.06 and 24,047.60 is: 36,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,417.78 : 102,642.06 = 24,047.60 : x
  2. Step 2: Convert to fraction form
    68,417.78/102,642.06 = 24,047.60/x
  3. Step 3: Cross multiply
    68,417.78x = 102,642.06 × 24,047.60
  4. Step 4: Simplify right side
    68,417.78x = 2,468,295,202.06
  5. Step 5: Solve for x
    x = 2,468,295,202.06/68,417.78
  6. Step 6: Final answer
    x = 36,076.81

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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.