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Finding the Fourth Proportional to 49,119.01, 67,785.86 and 27,612.49

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Solution

The fourth proportional to 49,119.01, 67,785.86 and 27,612.49 is: 38,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,119.01 : 67,785.86 = 27,612.49 : x
  2. Step 2: Convert to fraction form
    49,119.01/67,785.86 = 27,612.49/x
  3. Step 3: Cross multiply
    49,119.01x = 67,785.86 × 27,612.49
  4. Step 4: Simplify right side
    49,119.01x = 1,871,736,381.39
  5. Step 5: Solve for x
    x = 1,871,736,381.39/49,119.01
  6. Step 6: Final answer
    x = 38,106.15

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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.