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Finding the Fourth Proportional to 71,967.22, 107,924.90 and 30,417.46

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Solution

The fourth proportional to 71,967.22, 107,924.90 and 30,417.46 is: 45,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,967.22 : 107,924.90 = 30,417.46 : x
  2. Step 2: Convert to fraction form
    71,967.22/107,924.90 = 30,417.46/x
  3. Step 3: Cross multiply
    71,967.22x = 107,924.90 × 30,417.46
  4. Step 4: Simplify right side
    71,967.22x = 3,282,801,176.67
  5. Step 5: Solve for x
    x = 3,282,801,176.67/71,967.22
  6. Step 6: Final answer
    x = 45,615.23

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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.