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Finding the Fourth Proportional to 49,097.34, 67,754.34 and 27,879.84

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Solution

The fourth proportional to 49,097.34, 67,754.34 and 27,879.84 is: 38,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.34 : 67,754.34 = 27,879.84 : x
  2. Step 2: Convert to fraction form
    49,097.34/67,754.34 = 27,879.84/x
  3. Step 3: Cross multiply
    49,097.34x = 67,754.34 × 27,879.84
  4. Step 4: Simplify right side
    49,097.34x = 1,888,980,158.51
  5. Step 5: Solve for x
    x = 1,888,980,158.51/49,097.34
  6. Step 6: Final answer
    x = 38,474.19

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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.