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Finding the Fourth Proportional to 96,348.16, 144,486.30 and 33,150.58

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Solution

The fourth proportional to 96,348.16, 144,486.30 and 33,150.58 is: 49,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348.16 : 144,486.30 = 33,150.58 : x
  2. Step 2: Convert to fraction form
    96,348.16/144,486.30 = 33,150.58/x
  3. Step 3: Cross multiply
    96,348.16x = 144,486.30 × 33,150.58
  4. Step 4: Simplify right side
    96,348.16x = 4,789,804,647.05
  5. Step 5: Solve for x
    x = 4,789,804,647.05/96,348.16
  6. Step 6: Final answer
    x = 49,713.50

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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.