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Finding the Fourth Proportional to 35,409, 48,866.76 and 20,505

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Solution

The fourth proportional to 35,409, 48,866.76 and 20,505 is: 28,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409 : 48,866.76 = 20,505 : x
  2. Step 2: Convert to fraction form
    35,409/48,866.76 = 20,505/x
  3. Step 3: Cross multiply
    35,409x = 48,866.76 × 20,505
  4. Step 4: Simplify right side
    35,409x = 1,002,012,913.80
  5. Step 5: Solve for x
    x = 1,002,012,913.80/35,409
  6. Step 6: Final answer
    x = 28,298.26

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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.