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Finding the Fourth Proportional to 47,734.25, 65,873.27 and 26,515.49

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Solution

The fourth proportional to 47,734.25, 65,873.27 and 26,515.49 is: 36,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,734.25 : 65,873.27 = 26,515.49 : x
  2. Step 2: Convert to fraction form
    47,734.25/65,873.27 = 26,515.49/x
  3. Step 3: Cross multiply
    47,734.25x = 65,873.27 × 26,515.49
  4. Step 4: Simplify right side
    47,734.25x = 1,746,662,031.95
  5. Step 5: Solve for x
    x = 1,746,662,031.95/47,734.25
  6. Step 6: Final answer
    x = 36,591.38

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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.