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Finding the Fourth Proportional to 60,153.80, 82,983.02 and 39,743.87

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Solution

The fourth proportional to 60,153.80, 82,983.02 and 39,743.87 is: 54,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,153.80 : 82,983.02 = 39,743.87 : x
  2. Step 2: Convert to fraction form
    60,153.80/82,983.02 = 39,743.87/x
  3. Step 3: Cross multiply
    60,153.80x = 82,983.02 × 39,743.87
  4. Step 4: Simplify right side
    60,153.80x = 3,298,065,745.45
  5. Step 5: Solve for x
    x = 3,298,065,745.45/60,153.80
  6. Step 6: Final answer
    x = 54,827.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.