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Finding the Fourth Proportional to 68,395.76, 102,588.51 and 24,022.90

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Solution

The fourth proportional to 68,395.76, 102,588.51 and 24,022.90 is: 36,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,395.76 : 102,588.51 = 24,022.90 : x
  2. Step 2: Convert to fraction form
    68,395.76/102,588.51 = 24,022.90/x
  3. Step 3: Cross multiply
    68,395.76x = 102,588.51 × 24,022.90
  4. Step 4: Simplify right side
    68,395.76x = 2,464,473,260.41
  5. Step 5: Solve for x
    x = 2,464,473,260.41/68,395.76
  6. Step 6: Final answer
    x = 36,032.55

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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.