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Finding the Fourth Proportional to 47,235, 65,184.36 and 25,724.78

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Solution

The fourth proportional to 47,235, 65,184.36 and 25,724.78 is: 35,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,235 : 65,184.36 = 25,724.78 : x
  2. Step 2: Convert to fraction form
    47,235/65,184.36 = 25,724.78/x
  3. Step 3: Cross multiply
    47,235x = 65,184.36 × 25,724.78
  4. Step 4: Simplify right side
    47,235x = 1,676,853,320.44
  5. Step 5: Solve for x
    x = 1,676,853,320.44/47,235
  6. Step 6: Final answer
    x = 35,500.23

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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.