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Finding the Fourth Proportional to 51,165.12, 70,608 and 29,659

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Solution

The fourth proportional to 51,165.12, 70,608 and 29,659 is: 40,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165.12 : 70,608 = 29,659 : x
  2. Step 2: Convert to fraction form
    51,165.12/70,608 = 29,659/x
  3. Step 3: Cross multiply
    51,165.12x = 70,608 × 29,659
  4. Step 4: Simplify right side
    51,165.12x = 2,094,162,672
  5. Step 5: Solve for x
    x = 2,094,162,672/51,165.12
  6. Step 6: Final answer
    x = 40,929.50

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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.