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Finding the Fourth Proportional to 71,968.77, 107,954.51 and 24,594.71

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Solution

The fourth proportional to 71,968.77, 107,954.51 and 24,594.71 is: 36,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968.77 : 107,954.51 = 24,594.71 : x
  2. Step 2: Convert to fraction form
    71,968.77/107,954.51 = 24,594.71/x
  3. Step 3: Cross multiply
    71,968.77x = 107,954.51 × 24,594.71
  4. Step 4: Simplify right side
    71,968.77x = 2,655,109,203.90
  5. Step 5: Solve for x
    x = 2,655,109,203.90/71,968.77
  6. Step 6: Final answer
    x = 36,892.52

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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.