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Finding the Fourth Proportional to 83,422.04, 115,143.02 and 47,632.81

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Solution

The fourth proportional to 83,422.04, 115,143.02 and 47,632.81 is: 65,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422.04 : 115,143.02 = 47,632.81 : x
  2. Step 2: Convert to fraction form
    83,422.04/115,143.02 = 47,632.81/x
  3. Step 3: Cross multiply
    83,422.04x = 115,143.02 × 47,632.81
  4. Step 4: Simplify right side
    83,422.04x = 5,484,585,594.49
  5. Step 5: Solve for x
    x = 5,484,585,594.49/83,422.04
  6. Step 6: Final answer
    x = 65,745.04

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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.