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Finding the Fourth Proportional to 68,575.52, 102,870.84 and 24,196.16

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Solution

The fourth proportional to 68,575.52, 102,870.84 and 24,196.16 is: 36,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,575.52 : 102,870.84 = 24,196.16 : x
  2. Step 2: Convert to fraction form
    68,575.52/102,870.84 = 24,196.16/x
  3. Step 3: Cross multiply
    68,575.52x = 102,870.84 × 24,196.16
  4. Step 4: Simplify right side
    68,575.52x = 2,489,079,303.97
  5. Step 5: Solve for x
    x = 2,489,079,303.97/68,575.52
  6. Step 6: Final answer
    x = 36,296.91

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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.