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Finding the Fourth Proportional to 64,034.32, 96,061.08 and 22,478

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Solution

The fourth proportional to 64,034.32, 96,061.08 and 22,478 is: 33,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,034.32 : 96,061.08 = 22,478 : x
  2. Step 2: Convert to fraction form
    64,034.32/96,061.08 = 22,478/x
  3. Step 3: Cross multiply
    64,034.32x = 96,061.08 × 22,478
  4. Step 4: Simplify right side
    64,034.32x = 2,159,260,956.24
  5. Step 5: Solve for x
    x = 2,159,260,956.24/64,034.32
  6. Step 6: Final answer
    x = 33,720.37

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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.