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Finding the Fourth Proportional to 69,902.34, 96,466.32 and 38,071.21

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Solution

The fourth proportional to 69,902.34, 96,466.32 and 38,071.21 is: 52,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902.34 : 96,466.32 = 38,071.21 : x
  2. Step 2: Convert to fraction form
    69,902.34/96,466.32 = 38,071.21/x
  3. Step 3: Cross multiply
    69,902.34x = 96,466.32 × 38,071.21
  4. Step 4: Simplify right side
    69,902.34x = 3,672,589,526.65
  5. Step 5: Solve for x
    x = 3,672,589,526.65/69,902.34
  6. Step 6: Final answer
    x = 52,538.86

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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.