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Finding the Fourth Proportional to 37,885.80, 52,328.34 and 27,799.68

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Solution

The fourth proportional to 37,885.80, 52,328.34 and 27,799.68 is: 38,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885.80 : 52,328.34 = 27,799.68 : x
  2. Step 2: Convert to fraction form
    37,885.80/52,328.34 = 27,799.68/x
  3. Step 3: Cross multiply
    37,885.80x = 52,328.34 × 27,799.68
  4. Step 4: Simplify right side
    37,885.80x = 1,454,711,106.93
  5. Step 5: Solve for x
    x = 1,454,711,106.93/37,885.80
  6. Step 6: Final answer
    x = 38,397.27

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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.