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Finding the Fourth Proportional to 83,018.62, 114,561.03 and 47,217.34

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Solution

The fourth proportional to 83,018.62, 114,561.03 and 47,217.34 is: 65,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.62 : 114,561.03 = 47,217.34 : x
  2. Step 2: Convert to fraction form
    83,018.62/114,561.03 = 47,217.34/x
  3. Step 3: Cross multiply
    83,018.62x = 114,561.03 × 47,217.34
  4. Step 4: Simplify right side
    83,018.62x = 5,409,267,104.26
  5. Step 5: Solve for x
    x = 5,409,267,104.26/83,018.62
  6. Step 6: Final answer
    x = 65,157.28

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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.