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Finding the Fourth Proportional to 83,044.14, 114,607.25 and 47,232.01

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Solution

The fourth proportional to 83,044.14, 114,607.25 and 47,232.01 is: 65,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.14 : 114,607.25 = 47,232.01 : x
  2. Step 2: Convert to fraction form
    83,044.14/114,607.25 = 47,232.01/x
  3. Step 3: Cross multiply
    83,044.14x = 114,607.25 × 47,232.01
  4. Step 4: Simplify right side
    83,044.14x = 5,413,130,778.07
  5. Step 5: Solve for x
    x = 5,413,130,778.07/83,044.14
  6. Step 6: Final answer
    x = 65,183.78

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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.