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Finding the Fourth Proportional to 65,383.47, 97,992.86 and 35,396.46

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Solution

The fourth proportional to 65,383.47, 97,992.86 and 35,396.46 is: 53,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383.47 : 97,992.86 = 35,396.46 : x
  2. Step 2: Convert to fraction form
    65,383.47/97,992.86 = 35,396.46/x
  3. Step 3: Cross multiply
    65,383.47x = 97,992.86 × 35,396.46
  4. Step 4: Simplify right side
    65,383.47x = 3,468,600,172.29
  5. Step 5: Solve for x
    x = 3,468,600,172.29/65,383.47
  6. Step 6: Final answer
    x = 53,050.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.