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Finding the Fourth Proportional to 48,343, 66,713.52 and 28,213.78

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Solution

The fourth proportional to 48,343, 66,713.52 and 28,213.78 is: 38,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,343 : 66,713.52 = 28,213.78 : x
  2. Step 2: Convert to fraction form
    48,343/66,713.52 = 28,213.78/x
  3. Step 3: Cross multiply
    48,343x = 66,713.52 × 28,213.78
  4. Step 4: Simplify right side
    48,343x = 1,882,240,576.31
  5. Step 5: Solve for x
    x = 1,882,240,576.31/48,343
  6. Step 6: Final answer
    x = 38,935.12

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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.