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Finding the Fourth Proportional to 97,102.83, 145,662.15 and 26,982.15

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Solution

The fourth proportional to 97,102.83, 145,662.15 and 26,982.15 is: 40,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,102.83 : 145,662.15 = 26,982.15 : x
  2. Step 2: Convert to fraction form
    97,102.83/145,662.15 = 26,982.15/x
  3. Step 3: Cross multiply
    97,102.83x = 145,662.15 × 26,982.15
  4. Step 4: Simplify right side
    97,102.83x = 3,930,277,980.62
  5. Step 5: Solve for x
    x = 3,930,277,980.62/97,102.83
  6. Step 6: Final answer
    x = 40,475.42

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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.