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Finding the Fourth Proportional to 115,896.70, 173,845.05 and 42,015.10

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Solution

The fourth proportional to 115,896.70, 173,845.05 and 42,015.10 is: 63,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,896.70 : 173,845.05 = 42,015.10 : x
  2. Step 2: Convert to fraction form
    115,896.70/173,845.05 = 42,015.10/x
  3. Step 3: Cross multiply
    115,896.70x = 173,845.05 × 42,015.10
  4. Step 4: Simplify right side
    115,896.70x = 7,304,117,160.26
  5. Step 5: Solve for x
    x = 7,304,117,160.26/115,896.70
  6. Step 6: Final answer
    x = 63,022.65

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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.