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Finding the Fourth Proportional to 69,971.75, 96,562.19 and 38,142.41

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Solution

The fourth proportional to 69,971.75, 96,562.19 and 38,142.41 is: 52,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,971.75 : 96,562.19 = 38,142.41 : x
  2. Step 2: Convert to fraction form
    69,971.75/96,562.19 = 38,142.41/x
  3. Step 3: Cross multiply
    69,971.75x = 96,562.19 × 38,142.41
  4. Step 4: Simplify right side
    69,971.75x = 3,683,114,450.77
  5. Step 5: Solve for x
    x = 3,683,114,450.77/69,971.75
  6. Step 6: Final answer
    x = 52,637.16

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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.