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Finding the Fourth Proportional to 35,201, 48,565.42 and 20,082.80

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Solution

The fourth proportional to 35,201, 48,565.42 and 20,082.80 is: 27,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201 : 48,565.42 = 20,082.80 : x
  2. Step 2: Convert to fraction form
    35,201/48,565.42 = 20,082.80/x
  3. Step 3: Cross multiply
    35,201x = 48,565.42 × 20,082.80
  4. Step 4: Simplify right side
    35,201x = 975,329,616.78
  5. Step 5: Solve for x
    x = 975,329,616.78/35,201
  6. Step 6: Final answer
    x = 27,707.44

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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.