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Finding the Fourth Proportional to 83,018.37, 114,560.68 and 47,217.09

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Solution

The fourth proportional to 83,018.37, 114,560.68 and 47,217.09 is: 65,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.37 : 114,560.68 = 47,217.09 : x
  2. Step 2: Convert to fraction form
    83,018.37/114,560.68 = 47,217.09/x
  3. Step 3: Cross multiply
    83,018.37x = 114,560.68 × 47,217.09
  4. Step 4: Simplify right side
    83,018.37x = 5,409,221,938.02
  5. Step 5: Solve for x
    x = 5,409,221,938.02/83,018.37
  6. Step 6: Final answer
    x = 65,156.93

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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.