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Finding the Fourth Proportional to 96,225.98, 144,297.68 and 33,052.46

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Solution

The fourth proportional to 96,225.98, 144,297.68 and 33,052.46 is: 49,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,225.98 : 144,297.68 = 33,052.46 : x
  2. Step 2: Convert to fraction form
    96,225.98/144,297.68 = 33,052.46/x
  3. Step 3: Cross multiply
    96,225.98x = 144,297.68 × 33,052.46
  4. Step 4: Simplify right side
    96,225.98x = 4,769,392,502.50
  5. Step 5: Solve for x
    x = 4,769,392,502.50/96,225.98
  6. Step 6: Final answer
    x = 49,564.50

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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.