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Finding the Fourth Proportional to 95,543.52, 143,315.24 and 33,214

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Solution

The fourth proportional to 95,543.52, 143,315.24 and 33,214 is: 49,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,543.52 : 143,315.24 = 33,214 : x
  2. Step 2: Convert to fraction form
    95,543.52/143,315.24 = 33,214/x
  3. Step 3: Cross multiply
    95,543.52x = 143,315.24 × 33,214
  4. Step 4: Simplify right side
    95,543.52x = 4,760,072,381.36
  5. Step 5: Solve for x
    x = 4,760,072,381.36/95,543.52
  6. Step 6: Final answer
    x = 49,820.99

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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.