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Finding the Fourth Proportional to 35,221.08, 48,627.36 and 24,636

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Solution

The fourth proportional to 35,221.08, 48,627.36 and 24,636 is: 34,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,221.08 : 48,627.36 = 24,636 : x
  2. Step 2: Convert to fraction form
    35,221.08/48,627.36 = 24,636/x
  3. Step 3: Cross multiply
    35,221.08x = 48,627.36 × 24,636
  4. Step 4: Simplify right side
    35,221.08x = 1,197,983,640.96
  5. Step 5: Solve for x
    x = 1,197,983,640.96/35,221.08
  6. Step 6: Final answer
    x = 34,013.26

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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.