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Finding the Fourth Proportional to 48,595.70, 67,061.76 and 27,381.80

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Solution

The fourth proportional to 48,595.70, 67,061.76 and 27,381.80 is: 37,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,595.70 : 67,061.76 = 27,381.80 : x
  2. Step 2: Convert to fraction form
    48,595.70/67,061.76 = 27,381.80/x
  3. Step 3: Cross multiply
    48,595.70x = 67,061.76 × 27,381.80
  4. Step 4: Simplify right side
    48,595.70x = 1,836,271,364.66
  5. Step 5: Solve for x
    x = 1,836,271,364.66/48,595.70
  6. Step 6: Final answer
    x = 37,786.71

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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.