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Finding the Fourth Proportional to 48,561, 67,014.66 and 27,339.24

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Solution

The fourth proportional to 48,561, 67,014.66 and 27,339.24 is: 37,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,561 : 67,014.66 = 27,339.24 : x
  2. Step 2: Convert to fraction form
    48,561/67,014.66 = 27,339.24/x
  3. Step 3: Cross multiply
    48,561x = 67,014.66 × 27,339.24
  4. Step 4: Simplify right side
    48,561x = 1,832,129,873.26
  5. Step 5: Solve for x
    x = 1,832,129,873.26/48,561
  6. Step 6: Final answer
    x = 37,728.42

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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.