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Finding the Fourth Proportional to 49,041.78, 67,683.78 and 27,827.88

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Solution

The fourth proportional to 49,041.78, 67,683.78 and 27,827.88 is: 38,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041.78 : 67,683.78 = 27,827.88 : x
  2. Step 2: Convert to fraction form
    49,041.78/67,683.78 = 27,827.88/x
  3. Step 3: Cross multiply
    49,041.78x = 67,683.78 × 27,827.88
  4. Step 4: Simplify right side
    49,041.78x = 1,883,496,107.79
  5. Step 5: Solve for x
    x = 1,883,496,107.79/49,041.78
  6. Step 6: Final answer
    x = 38,405.95

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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.