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Finding the Fourth Proportional to 52,149.84, 71,961.44 and 32,007.56

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Solution

The fourth proportional to 52,149.84, 71,961.44 and 32,007.56 is: 44,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,149.84 : 71,961.44 = 32,007.56 : x
  2. Step 2: Convert to fraction form
    52,149.84/71,961.44 = 32,007.56/x
  3. Step 3: Cross multiply
    52,149.84x = 71,961.44 × 32,007.56
  4. Step 4: Simplify right side
    52,149.84x = 2,303,310,108.49
  5. Step 5: Solve for x
    x = 2,303,310,108.49/52,149.84
  6. Step 6: Final answer
    x = 44,167.16

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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.