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Finding the Fourth Proportional to 39,519.86, 54,512.47 and 27,578.84

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Solution

The fourth proportional to 39,519.86, 54,512.47 and 27,578.84 is: 38,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,519.86 : 54,512.47 = 27,578.84 : x
  2. Step 2: Convert to fraction form
    39,519.86/54,512.47 = 27,578.84/x
  3. Step 3: Cross multiply
    39,519.86x = 54,512.47 × 27,578.84
  4. Step 4: Simplify right side
    39,519.86x = 1,503,390,688.13
  5. Step 5: Solve for x
    x = 1,503,390,688.13/39,519.86
  6. Step 6: Final answer
    x = 38,041.40

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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.