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Finding the Fourth Proportional to 27,368.48, 37,768.38 and 14,793.20

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Solution

The fourth proportional to 27,368.48, 37,768.38 and 14,793.20 is: 20,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,368.48 : 37,768.38 = 14,793.20 : x
  2. Step 2: Convert to fraction form
    27,368.48/37,768.38 = 14,793.20/x
  3. Step 3: Cross multiply
    27,368.48x = 37,768.38 × 14,793.20
  4. Step 4: Simplify right side
    27,368.48x = 558,715,199.02
  5. Step 5: Solve for x
    x = 558,715,199.02/27,368.48
  6. Step 6: Final answer
    x = 20,414.55

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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.