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Finding the Fourth Proportional to 68,382.76, 102,619.96 and 24,009.64

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Solution

The fourth proportional to 68,382.76, 102,619.96 and 24,009.64 is: 36,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382.76 : 102,619.96 = 24,009.64 : x
  2. Step 2: Convert to fraction form
    68,382.76/102,619.96 = 24,009.64/x
  3. Step 3: Cross multiply
    68,382.76x = 102,619.96 × 24,009.64
  4. Step 4: Simplify right side
    68,382.76x = 2,463,868,296.41
  5. Step 5: Solve for x
    x = 2,463,868,296.41/68,382.76
  6. Step 6: Final answer
    x = 36,030.55

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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.