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Finding the Fourth Proportional to 36,776.82, 50,762.43 and 21,678.24

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Solution

The fourth proportional to 36,776.82, 50,762.43 and 21,678.24 is: 29,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776.82 : 50,762.43 = 21,678.24 : x
  2. Step 2: Convert to fraction form
    36,776.82/50,762.43 = 21,678.24/x
  3. Step 3: Cross multiply
    36,776.82x = 50,762.43 × 21,678.24
  4. Step 4: Simplify right side
    36,776.82x = 1,100,440,140.52
  5. Step 5: Solve for x
    x = 1,100,440,140.52/36,776.82
  6. Step 6: Final answer
    x = 29,922.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.