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Finding the Fourth Proportional to 50,448.48, 75,713.04 and 22,748.64

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Solution

The fourth proportional to 50,448.48, 75,713.04 and 22,748.64 is: 34,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.48 : 75,713.04 = 22,748.64 : x
  2. Step 2: Convert to fraction form
    50,448.48/75,713.04 = 22,748.64/x
  3. Step 3: Cross multiply
    50,448.48x = 75,713.04 × 22,748.64
  4. Step 4: Simplify right side
    50,448.48x = 1,722,368,690.27
  5. Step 5: Solve for x
    x = 1,722,368,690.27/50,448.48
  6. Step 6: Final answer
    x = 34,141.14

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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.