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Finding the Fourth Proportional to 55,543.84, 83,316.08 and 22,711.84

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Solution

The fourth proportional to 55,543.84, 83,316.08 and 22,711.84 is: 34,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,543.84 : 83,316.08 = 22,711.84 : x
  2. Step 2: Convert to fraction form
    55,543.84/83,316.08 = 22,711.84/x
  3. Step 3: Cross multiply
    55,543.84x = 83,316.08 × 22,711.84
  4. Step 4: Simplify right side
    55,543.84x = 1,892,261,478.39
  5. Step 5: Solve for x
    x = 1,892,261,478.39/55,543.84
  6. Step 6: Final answer
    x = 34,067.89

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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.