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Finding the Fourth Proportional to 69,848.32, 96,388.06 and 38,016.52

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Solution

The fourth proportional to 69,848.32, 96,388.06 and 38,016.52 is: 52,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,848.32 : 96,388.06 = 38,016.52 : x
  2. Step 2: Convert to fraction form
    69,848.32/96,388.06 = 38,016.52/x
  3. Step 3: Cross multiply
    69,848.32x = 96,388.06 × 38,016.52
  4. Step 4: Simplify right side
    69,848.32x = 3,664,338,610.75
  5. Step 5: Solve for x
    x = 3,664,338,610.75/69,848.32
  6. Step 6: Final answer
    x = 52,461.37

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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.