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Finding the Fourth Proportional to 103,133.52, 154,722.96 and 33,019.92

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Solution

The fourth proportional to 103,133.52, 154,722.96 and 33,019.92 is: 49,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,133.52 : 154,722.96 = 33,019.92 : x
  2. Step 2: Convert to fraction form
    103,133.52/154,722.96 = 33,019.92/x
  3. Step 3: Cross multiply
    103,133.52x = 154,722.96 × 33,019.92
  4. Step 4: Simplify right side
    103,133.52x = 5,108,939,761.36
  5. Step 5: Solve for x
    x = 5,108,939,761.36/103,133.52
  6. Step 6: Final answer
    x = 49,537.14

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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.