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Finding the Fourth Proportional to 36,782.84, 55,130.85 and 15,716.72

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Solution

The fourth proportional to 36,782.84, 55,130.85 and 15,716.72 is: 23,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.84 : 55,130.85 = 15,716.72 : x
  2. Step 2: Convert to fraction form
    36,782.84/55,130.85 = 15,716.72/x
  3. Step 3: Cross multiply
    36,782.84x = 55,130.85 × 15,716.72
  4. Step 4: Simplify right side
    36,782.84x = 866,476,132.81
  5. Step 5: Solve for x
    x = 866,476,132.81/36,782.84
  6. Step 6: Final answer
    x = 23,556.53

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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.