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Finding the Fourth Proportional to 64,567.46, 96,642.86 and 33,359.78

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Solution

The fourth proportional to 64,567.46, 96,642.86 and 33,359.78 is: 49,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,567.46 : 96,642.86 = 33,359.78 : x
  2. Step 2: Convert to fraction form
    64,567.46/96,642.86 = 33,359.78/x
  3. Step 3: Cross multiply
    64,567.46x = 96,642.86 × 33,359.78
  4. Step 4: Simplify right side
    64,567.46x = 3,223,984,148.36
  5. Step 5: Solve for x
    x = 3,223,984,148.36/64,567.46
  6. Step 6: Final answer
    x = 49,932.03

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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.