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Finding the Fourth Proportional to 35,882.22, 53,823.60 and 12,508.68

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Solution

The fourth proportional to 35,882.22, 53,823.60 and 12,508.68 is: 18,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.22 : 53,823.60 = 12,508.68 : x
  2. Step 2: Convert to fraction form
    35,882.22/53,823.60 = 12,508.68/x
  3. Step 3: Cross multiply
    35,882.22x = 53,823.60 × 12,508.68
  4. Step 4: Simplify right side
    35,882.22x = 673,262,188.85
  5. Step 5: Solve for x
    x = 673,262,188.85/35,882.22
  6. Step 6: Final answer
    x = 18,763.11

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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.