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Finding the Fourth Proportional to 35,089.50, 48,409.66 and 22,339.38

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Solution

The fourth proportional to 35,089.50, 48,409.66 and 22,339.38 is: 30,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,089.50 : 48,409.66 = 22,339.38 : x
  2. Step 2: Convert to fraction form
    35,089.50/48,409.66 = 22,339.38/x
  3. Step 3: Cross multiply
    35,089.50x = 48,409.66 × 22,339.38
  4. Step 4: Simplify right side
    35,089.50x = 1,081,441,790.41
  5. Step 5: Solve for x
    x = 1,081,441,790.41/35,089.50
  6. Step 6: Final answer
    x = 30,819.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.