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Finding the Fourth Proportional to 65,385.97, 90,241.83 and 38,170.98

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Solution

The fourth proportional to 65,385.97, 90,241.83 and 38,170.98 is: 52,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,385.97 : 90,241.83 = 38,170.98 : x
  2. Step 2: Convert to fraction form
    65,385.97/90,241.83 = 38,170.98/x
  3. Step 3: Cross multiply
    65,385.97x = 90,241.83 × 38,170.98
  4. Step 4: Simplify right side
    65,385.97x = 3,444,619,088.09
  5. Step 5: Solve for x
    x = 3,444,619,088.09/65,385.97
  6. Step 6: Final answer
    x = 52,681.32

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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.