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Finding the Fourth Proportional to 35,053.28, 48,373.48 and 22,478

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Solution

The fourth proportional to 35,053.28, 48,373.48 and 22,478 is: 31,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,053.28 : 48,373.48 = 22,478 : x
  2. Step 2: Convert to fraction form
    35,053.28/48,373.48 = 22,478/x
  3. Step 3: Cross multiply
    35,053.28x = 48,373.48 × 22,478
  4. Step 4: Simplify right side
    35,053.28x = 1,087,339,083.44
  5. Step 5: Solve for x
    x = 1,087,339,083.44/35,053.28
  6. Step 6: Final answer
    x = 31,019.61

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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.