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Finding the Fourth Proportional to 52,016.70, 71,782.76 and 29,363.06

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Solution

The fourth proportional to 52,016.70, 71,782.76 and 29,363.06 is: 40,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,016.70 : 71,782.76 = 29,363.06 : x
  2. Step 2: Convert to fraction form
    52,016.70/71,782.76 = 29,363.06/x
  3. Step 3: Cross multiply
    52,016.70x = 71,782.76 × 29,363.06
  4. Step 4: Simplify right side
    52,016.70x = 2,107,760,983.12
  5. Step 5: Solve for x
    x = 2,107,760,983.12/52,016.70
  6. Step 6: Final answer
    x = 40,520.85

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1.5x scale

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.