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Finding the Fourth Proportional to 103,234.57, 154,837.27 and 33,104.77

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Solution

The fourth proportional to 103,234.57, 154,837.27 and 33,104.77 is: 49,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234.57 : 154,837.27 = 33,104.77 : x
  2. Step 2: Convert to fraction form
    103,234.57/154,837.27 = 33,104.77/x
  3. Step 3: Cross multiply
    103,234.57x = 154,837.27 × 33,104.77
  4. Step 4: Simplify right side
    103,234.57x = 5,125,852,210.78
  5. Step 5: Solve for x
    x = 5,125,852,210.78/103,234.57
  6. Step 6: Final answer
    x = 49,652.48

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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.