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Finding the Fourth Proportional to 55,233, 76,221.84 and 30,082.56

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Solution

The fourth proportional to 55,233, 76,221.84 and 30,082.56 is: 41,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,233 : 76,221.84 = 30,082.56 : x
  2. Step 2: Convert to fraction form
    55,233/76,221.84 = 30,082.56/x
  3. Step 3: Cross multiply
    55,233x = 76,221.84 × 30,082.56
  4. Step 4: Simplify right side
    55,233x = 2,292,948,075.11
  5. Step 5: Solve for x
    x = 2,292,948,075.11/55,233
  6. Step 6: Final answer
    x = 41,514.10

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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.