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Finding the Fourth Proportional to 34,508.54, 51,741.89 and 22,509.65

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Solution

The fourth proportional to 34,508.54, 51,741.89 and 22,509.65 is: 33,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508.54 : 51,741.89 = 22,509.65 : x
  2. Step 2: Convert to fraction form
    34,508.54/51,741.89 = 22,509.65/x
  3. Step 3: Cross multiply
    34,508.54x = 51,741.89 × 22,509.65
  4. Step 4: Simplify right side
    34,508.54x = 1,164,692,019.87
  5. Step 5: Solve for x
    x = 1,164,692,019.87/34,508.54
  6. Step 6: Final answer
    x = 33,750.84

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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.