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Finding the Fourth Proportional to 51,182.88, 70,608.24 and 29,949.12

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Solution

The fourth proportional to 51,182.88, 70,608.24 and 29,949.12 is: 41,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,182.88 : 70,608.24 = 29,949.12 : x
  2. Step 2: Convert to fraction form
    51,182.88/70,608.24 = 29,949.12/x
  3. Step 3: Cross multiply
    51,182.88x = 70,608.24 × 29,949.12
  4. Step 4: Simplify right side
    51,182.88x = 2,114,654,652.75
  5. Step 5: Solve for x
    x = 2,114,654,652.75/51,182.88
  6. Step 6: Final answer
    x = 41,315.66

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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.