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Finding the Fourth Proportional to 40,425.76, 60,627.12 and 15,796

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Solution

The fourth proportional to 40,425.76, 60,627.12 and 15,796 is: 23,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,425.76 : 60,627.12 = 15,796 : x
  2. Step 2: Convert to fraction form
    40,425.76/60,627.12 = 15,796/x
  3. Step 3: Cross multiply
    40,425.76x = 60,627.12 × 15,796
  4. Step 4: Simplify right side
    40,425.76x = 957,665,987.52
  5. Step 5: Solve for x
    x = 957,665,987.52/40,425.76
  6. Step 6: Final answer
    x = 23,689.50

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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.