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Finding the Fourth Proportional to 65,498.07, 90,383.40 and 38,649

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Solution

The fourth proportional to 65,498.07, 90,383.40 and 38,649 is: 53,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.07 : 90,383.40 = 38,649 : x
  2. Step 2: Convert to fraction form
    65,498.07/90,383.40 = 38,649/x
  3. Step 3: Cross multiply
    65,498.07x = 90,383.40 × 38,649
  4. Step 4: Simplify right side
    65,498.07x = 3,493,228,026.60
  5. Step 5: Solve for x
    x = 3,493,228,026.60/65,498.07
  6. Step 6: Final answer
    x = 53,333.30

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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.