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Finding the Fourth Proportional to 27,109.46, 37,402.53 and 15,170.90

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Solution

The fourth proportional to 27,109.46, 37,402.53 and 15,170.90 is: 20,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.46 : 37,402.53 = 15,170.90 : x
  2. Step 2: Convert to fraction form
    27,109.46/37,402.53 = 15,170.90/x
  3. Step 3: Cross multiply
    27,109.46x = 37,402.53 × 15,170.90
  4. Step 4: Simplify right side
    27,109.46x = 567,430,042.38
  5. Step 5: Solve for x
    x = 567,430,042.38/27,109.46
  6. Step 6: Final answer
    x = 20,931.07

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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.