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Finding the Fourth Proportional to 55,854.69, 83,841.71 and 22,596.49

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Solution

The fourth proportional to 55,854.69, 83,841.71 and 22,596.49 is: 33,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.69 : 83,841.71 = 22,596.49 : x
  2. Step 2: Convert to fraction form
    55,854.69/83,841.71 = 22,596.49/x
  3. Step 3: Cross multiply
    55,854.69x = 83,841.71 × 22,596.49
  4. Step 4: Simplify right side
    55,854.69x = 1,894,528,361.60
  5. Step 5: Solve for x
    x = 1,894,528,361.60/55,854.69
  6. Step 6: Final answer
    x = 33,918.88

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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.