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Finding the Fourth Proportional to 47,952.64, 71,736.24 and 41,448.64

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Solution

The fourth proportional to 47,952.64, 71,736.24 and 41,448.64 is: 62,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952.64 : 71,736.24 = 41,448.64 : x
  2. Step 2: Convert to fraction form
    47,952.64/71,736.24 = 41,448.64/x
  3. Step 3: Cross multiply
    47,952.64x = 71,736.24 × 41,448.64
  4. Step 4: Simplify right side
    47,952.64x = 2,973,369,586.71
  5. Step 5: Solve for x
    x = 2,973,369,586.71/47,952.64
  6. Step 6: Final answer
    x = 62,006.38

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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.