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Finding the Fourth Proportional to 65,102.86, 97,654.30 and 61,778.62

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Solution

The fourth proportional to 65,102.86, 97,654.30 and 61,778.62 is: 92,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.86 : 97,654.30 = 61,778.62 : x
  2. Step 2: Convert to fraction form
    65,102.86/97,654.30 = 61,778.62/x
  3. Step 3: Cross multiply
    65,102.86x = 97,654.30 × 61,778.62
  4. Step 4: Simplify right side
    65,102.86x = 6,032,947,891.07
  5. Step 5: Solve for x
    x = 6,032,947,891.07/65,102.86
  6. Step 6: Final answer
    x = 92,667.94

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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.