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Finding the Fourth Proportional to 69,863.69, 96,412.34 and 38,032.58

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Solution

The fourth proportional to 69,863.69, 96,412.34 and 38,032.58 is: 52,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,863.69 : 96,412.34 = 38,032.58 : x
  2. Step 2: Convert to fraction form
    69,863.69/96,412.34 = 38,032.58/x
  3. Step 3: Cross multiply
    69,863.69x = 96,412.34 × 38,032.58
  4. Step 4: Simplify right side
    69,863.69x = 3,666,810,034.04
  5. Step 5: Solve for x
    x = 3,666,810,034.04/69,863.69
  6. Step 6: Final answer
    x = 52,485.20

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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.