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Finding the Fourth Proportional to 55,771.75, 83,658.70 and 13,652.19

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Solution

The fourth proportional to 55,771.75, 83,658.70 and 13,652.19 is: 20,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,771.75 : 83,658.70 = 13,652.19 : x
  2. Step 2: Convert to fraction form
    55,771.75/83,658.70 = 13,652.19/x
  3. Step 3: Cross multiply
    55,771.75x = 83,658.70 × 13,652.19
  4. Step 4: Simplify right side
    55,771.75x = 1,142,124,467.55
  5. Step 5: Solve for x
    x = 1,142,124,467.55/55,771.75
  6. Step 6: Final answer
    x = 20,478.55

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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.