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Finding the Fourth Proportional to 69,902.18, 96,462.02 and 38,071.16

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Solution

The fourth proportional to 69,902.18, 96,462.02 and 38,071.16 is: 52,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902.18 : 96,462.02 = 38,071.16 : x
  2. Step 2: Convert to fraction form
    69,902.18/96,462.02 = 38,071.16/x
  3. Step 3: Cross multiply
    69,902.18x = 96,462.02 × 38,071.16
  4. Step 4: Simplify right side
    69,902.18x = 3,672,420,997.34
  5. Step 5: Solve for x
    x = 3,672,420,997.34/69,902.18
  6. Step 6: Final answer
    x = 52,536.57

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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.