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Finding the Fourth Proportional to 57,960.16, 86,829.88 and 33,017.40

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Solution

The fourth proportional to 57,960.16, 86,829.88 and 33,017.40 is: 49,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,960.16 : 86,829.88 = 33,017.40 : x
  2. Step 2: Convert to fraction form
    57,960.16/86,829.88 = 33,017.40/x
  3. Step 3: Cross multiply
    57,960.16x = 86,829.88 × 33,017.40
  4. Step 4: Simplify right side
    57,960.16x = 2,866,896,879.91
  5. Step 5: Solve for x
    x = 2,866,896,879.91/57,960.16
  6. Step 6: Final answer
    x = 49,463.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.