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Finding the Fourth Proportional to 71,380.48, 107,044.80 and 23,981.44

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Solution

The fourth proportional to 71,380.48, 107,044.80 and 23,981.44 is: 35,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,380.48 : 107,044.80 = 23,981.44 : x
  2. Step 2: Convert to fraction form
    71,380.48/107,044.80 = 23,981.44/x
  3. Step 3: Cross multiply
    71,380.48x = 107,044.80 × 23,981.44
  4. Step 4: Simplify right side
    71,380.48x = 2,567,088,448.51
  5. Step 5: Solve for x
    x = 2,567,088,448.51/71,380.48
  6. Step 6: Final answer
    x = 35,963.45

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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.