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Finding the Fourth Proportional to 37,398.44, 56,091.02 and 13,701

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Solution

The fourth proportional to 37,398.44, 56,091.02 and 13,701 is: 20,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,398.44 : 56,091.02 = 13,701 : x
  2. Step 2: Convert to fraction form
    37,398.44/56,091.02 = 13,701/x
  3. Step 3: Cross multiply
    37,398.44x = 56,091.02 × 13,701
  4. Step 4: Simplify right side
    37,398.44x = 768,503,065.02
  5. Step 5: Solve for x
    x = 768,503,065.02/37,398.44
  6. Step 6: Final answer
    x = 20,549.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.