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Finding the Fourth Proportional to 65,245.96, 90,035.16 and 38,383.28

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Solution

The fourth proportional to 65,245.96, 90,035.16 and 38,383.28 is: 52,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.96 : 90,035.16 = 38,383.28 : x
  2. Step 2: Convert to fraction form
    65,245.96/90,035.16 = 38,383.28/x
  3. Step 3: Cross multiply
    65,245.96x = 90,035.16 × 38,383.28
  4. Step 4: Simplify right side
    65,245.96x = 3,455,844,756.12
  5. Step 5: Solve for x
    x = 3,455,844,756.12/65,245.96
  6. Step 6: Final answer
    x = 52,966.42

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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.