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Finding the Fourth Proportional to 97,151.40, 145,769.42 and 34,016.86

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Solution

The fourth proportional to 97,151.40, 145,769.42 and 34,016.86 is: 51,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,151.40 : 145,769.42 = 34,016.86 : x
  2. Step 2: Convert to fraction form
    97,151.40/145,769.42 = 34,016.86/x
  3. Step 3: Cross multiply
    97,151.40x = 145,769.42 × 34,016.86
  4. Step 4: Simplify right side
    97,151.40x = 4,958,618,219.68
  5. Step 5: Solve for x
    x = 4,958,618,219.68/97,151.40
  6. Step 6: Final answer
    x = 51,040.11

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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.