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Finding the Fourth Proportional to 97,138.44, 145,707.90 and 27,017.76

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Solution

The fourth proportional to 97,138.44, 145,707.90 and 27,017.76 is: 40,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,138.44 : 145,707.90 = 27,017.76 : x
  2. Step 2: Convert to fraction form
    97,138.44/145,707.90 = 27,017.76/x
  3. Step 3: Cross multiply
    97,138.44x = 145,707.90 × 27,017.76
  4. Step 4: Simplify right side
    97,138.44x = 3,936,701,072.30
  5. Step 5: Solve for x
    x = 3,936,701,072.30/97,138.44
  6. Step 6: Final answer
    x = 40,526.71

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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.