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Finding the Fourth Proportional to 49,462.68, 68,261.84 and 27,944.95

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Solution

The fourth proportional to 49,462.68, 68,261.84 and 27,944.95 is: 38,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462.68 : 68,261.84 = 27,944.95 : x
  2. Step 2: Convert to fraction form
    49,462.68/68,261.84 = 27,944.95/x
  3. Step 3: Cross multiply
    49,462.68x = 68,261.84 × 27,944.95
  4. Step 4: Simplify right side
    49,462.68x = 1,907,573,705.71
  5. Step 5: Solve for x
    x = 1,907,573,705.71/49,462.68
  6. Step 6: Final answer
    x = 38,565.92

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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.