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Finding the Fourth Proportional to 35,295.77, 48,675.16 and 28,149.46

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Solution

The fourth proportional to 35,295.77, 48,675.16 and 28,149.46 is: 38,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.77 : 48,675.16 = 28,149.46 : x
  2. Step 2: Convert to fraction form
    35,295.77/48,675.16 = 28,149.46/x
  3. Step 3: Cross multiply
    35,295.77x = 48,675.16 × 28,149.46
  4. Step 4: Simplify right side
    35,295.77x = 1,370,179,469.41
  5. Step 5: Solve for x
    x = 1,370,179,469.41/35,295.77
  6. Step 6: Final answer
    x = 38,819.93

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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.