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Finding the Fourth Proportional to 55,684.63, 83,506.14 and 22,393.45

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Solution

The fourth proportional to 55,684.63, 83,506.14 and 22,393.45 is: 33,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,684.63 : 83,506.14 = 22,393.45 : x
  2. Step 2: Convert to fraction form
    55,684.63/83,506.14 = 22,393.45/x
  3. Step 3: Cross multiply
    55,684.63x = 83,506.14 × 22,393.45
  4. Step 4: Simplify right side
    55,684.63x = 1,869,990,570.78
  5. Step 5: Solve for x
    x = 1,869,990,570.78/55,684.63
  6. Step 6: Final answer
    x = 33,581.81

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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.