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Finding the Fourth Proportional to 49,056.80, 67,698.85 and 27,834.40

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Solution

The fourth proportional to 49,056.80, 67,698.85 and 27,834.40 is: 38,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,056.80 : 67,698.85 = 27,834.40 : x
  2. Step 2: Convert to fraction form
    49,056.80/67,698.85 = 27,834.40/x
  3. Step 3: Cross multiply
    49,056.80x = 67,698.85 × 27,834.40
  4. Step 4: Simplify right side
    49,056.80x = 1,884,356,392.77
  5. Step 5: Solve for x
    x = 1,884,356,392.77/49,056.80
  6. Step 6: Final answer
    x = 38,411.73

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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.