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Finding the Fourth Proportional to 69,864, 96,412.16 and 38,033.12

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Solution

The fourth proportional to 69,864, 96,412.16 and 38,033.12 is: 52,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,864 : 96,412.16 = 38,033.12 : x
  2. Step 2: Convert to fraction form
    69,864/96,412.16 = 38,033.12/x
  3. Step 3: Cross multiply
    69,864x = 96,412.16 × 38,033.12
  4. Step 4: Simplify right side
    69,864x = 3,666,855,250.74
  5. Step 5: Solve for x
    x = 3,666,855,250.74/69,864
  6. Step 6: Final answer
    x = 52,485.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.