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Finding the Fourth Proportional to 69,902.90, 96,467.10 and 38,071.78

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Solution

The fourth proportional to 69,902.90, 96,467.10 and 38,071.78 is: 52,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902.90 : 96,467.10 = 38,071.78 : x
  2. Step 2: Convert to fraction form
    69,902.90/96,467.10 = 38,071.78/x
  3. Step 3: Cross multiply
    69,902.90x = 96,467.10 × 38,071.78
  4. Step 4: Simplify right side
    69,902.90x = 3,672,674,208.44
  5. Step 5: Solve for x
    x = 3,672,674,208.44/69,902.90
  6. Step 6: Final answer
    x = 52,539.65

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