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Finding the Fourth Proportional to 68,415.78, 102,639.06 and 24,045.60

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Solution

The fourth proportional to 68,415.78, 102,639.06 and 24,045.60 is: 36,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,415.78 : 102,639.06 = 24,045.60 : x
  2. Step 2: Convert to fraction form
    68,415.78/102,639.06 = 24,045.60/x
  3. Step 3: Cross multiply
    68,415.78x = 102,639.06 × 24,045.60
  4. Step 4: Simplify right side
    68,415.78x = 2,468,017,781.14
  5. Step 5: Solve for x
    x = 2,468,017,781.14/68,415.78
  6. Step 6: Final answer
    x = 36,073.81

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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.