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Finding the Fourth Proportional to 66,952.96, 100,462.40 and 47,357.44

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Solution

The fourth proportional to 66,952.96, 100,462.40 and 47,357.44 is: 71,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,952.96 : 100,462.40 = 47,357.44 : x
  2. Step 2: Convert to fraction form
    66,952.96/100,462.40 = 47,357.44/x
  3. Step 3: Cross multiply
    66,952.96x = 100,462.40 × 47,357.44
  4. Step 4: Simplify right side
    66,952.96x = 4,757,642,080.26
  5. Step 5: Solve for x
    x = 4,757,642,080.26/66,952.96
  6. Step 6: Final answer
    x = 71,059.47

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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.