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Finding the Fourth Proportional to 69,902.50, 96,466.56 and 38,071.38

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Solution

The fourth proportional to 69,902.50, 96,466.56 and 38,071.38 is: 52,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902.50 : 96,466.56 = 38,071.38 : x
  2. Step 2: Convert to fraction form
    69,902.50/96,466.56 = 38,071.38/x
  3. Step 3: Cross multiply
    69,902.50x = 96,466.56 × 38,071.38
  4. Step 4: Simplify right side
    69,902.50x = 3,672,615,063.05
  5. Step 5: Solve for x
    x = 3,672,615,063.05/69,902.50
  6. Step 6: Final answer
    x = 52,539.11

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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.