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Finding the Fourth Proportional to 20,797.47, 31,196.18 and 5,002.50

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Solution

The fourth proportional to 20,797.47, 31,196.18 and 5,002.50 is: 7,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.47 : 31,196.18 = 5,002.50 : x
  2. Step 2: Convert to fraction form
    20,797.47/31,196.18 = 5,002.50/x
  3. Step 3: Cross multiply
    20,797.47x = 31,196.18 × 5,002.50
  4. Step 4: Simplify right side
    20,797.47x = 156,058,795.35
  5. Step 5: Solve for x
    x = 156,058,795.35/20,797.47
  6. Step 6: Final answer
    x = 7,503.74

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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.