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Finding the Fourth Proportional to 64,505.76, 96,759 and 22,956

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Solution

The fourth proportional to 64,505.76, 96,759 and 22,956 is: 34,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505.76 : 96,759 = 22,956 : x
  2. Step 2: Convert to fraction form
    64,505.76/96,759 = 22,956/x
  3. Step 3: Cross multiply
    64,505.76x = 96,759 × 22,956
  4. Step 4: Simplify right side
    64,505.76x = 2,221,199,604
  5. Step 5: Solve for x
    x = 2,221,199,604/64,505.76
  6. Step 6: Final answer
    x = 34,434.13

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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.