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Finding the Fourth Proportional to 69,678.52, 104,502 and 32,218.18

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Solution

The fourth proportional to 69,678.52, 104,502 and 32,218.18 is: 48,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,678.52 : 104,502 = 32,218.18 : x
  2. Step 2: Convert to fraction form
    69,678.52/104,502 = 32,218.18/x
  3. Step 3: Cross multiply
    69,678.52x = 104,502 × 32,218.18
  4. Step 4: Simplify right side
    69,678.52x = 3,366,864,246.36
  5. Step 5: Solve for x
    x = 3,366,864,246.36/69,678.52
  6. Step 6: Final answer
    x = 48,319.97

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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.