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Finding the Fourth Proportional to 96,543.96, 144,788.22 and 33,347.64

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Solution

The fourth proportional to 96,543.96, 144,788.22 and 33,347.64 is: 50,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.96 : 144,788.22 = 33,347.64 : x
  2. Step 2: Convert to fraction form
    96,543.96/144,788.22 = 33,347.64/x
  3. Step 3: Cross multiply
    96,543.96x = 144,788.22 × 33,347.64
  4. Step 4: Simplify right side
    96,543.96x = 4,828,345,436.80
  5. Step 5: Solve for x
    x = 4,828,345,436.80/96,543.96
  6. Step 6: Final answer
    x = 50,011.89

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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.