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Finding the Fourth Proportional to 68,411.19, 102,609.57 and 32,379.03

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Solution

The fourth proportional to 68,411.19, 102,609.57 and 32,379.03 is: 48,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,411.19 : 102,609.57 = 32,379.03 : x
  2. Step 2: Convert to fraction form
    68,411.19/102,609.57 = 32,379.03/x
  3. Step 3: Cross multiply
    68,411.19x = 102,609.57 × 32,379.03
  4. Step 4: Simplify right side
    68,411.19x = 3,322,398,345.32
  5. Step 5: Solve for x
    x = 3,322,398,345.32/68,411.19
  6. Step 6: Final answer
    x = 48,565.13

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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.