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Finding the Fourth Proportional to 35,059.28, 48,381.74 and 22,484

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Solution

The fourth proportional to 35,059.28, 48,381.74 and 22,484 is: 31,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,059.28 : 48,381.74 = 22,484 : x
  2. Step 2: Convert to fraction form
    35,059.28/48,381.74 = 22,484/x
  3. Step 3: Cross multiply
    35,059.28x = 48,381.74 × 22,484
  4. Step 4: Simplify right side
    35,059.28x = 1,087,815,042.16
  5. Step 5: Solve for x
    x = 1,087,815,042.16/35,059.28
  6. Step 6: Final answer
    x = 31,027.88

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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.