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Finding the Fourth Proportional to 64,000.56, 96,068.49 and 35,944.59

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Solution

The fourth proportional to 64,000.56, 96,068.49 and 35,944.59 is: 53,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.56 : 96,068.49 = 35,944.59 : x
  2. Step 2: Convert to fraction form
    64,000.56/96,068.49 = 35,944.59/x
  3. Step 3: Cross multiply
    64,000.56x = 96,068.49 × 35,944.59
  4. Step 4: Simplify right side
    64,000.56x = 3,453,142,484.97
  5. Step 5: Solve for x
    x = 3,453,142,484.97/64,000.56
  6. Step 6: Final answer
    x = 53,954.88

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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.