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Finding the Fourth Proportional to 27,937.48, 38,522.16 and 20,370.46

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Solution

The fourth proportional to 27,937.48, 38,522.16 and 20,370.46 is: 28,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.48 : 38,522.16 = 20,370.46 : x
  2. Step 2: Convert to fraction form
    27,937.48/38,522.16 = 20,370.46/x
  3. Step 3: Cross multiply
    27,937.48x = 38,522.16 × 20,370.46
  4. Step 4: Simplify right side
    27,937.48x = 784,714,119.39
  5. Step 5: Solve for x
    x = 784,714,119.39/27,937.48
  6. Step 6: Final answer
    x = 28,088.22

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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.