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Finding the Fourth Proportional to 95,415, 143,122.56 and 29,751

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Solution

The fourth proportional to 95,415, 143,122.56 and 29,751 is: 44,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,415 : 143,122.56 = 29,751 : x
  2. Step 2: Convert to fraction form
    95,415/143,122.56 = 29,751/x
  3. Step 3: Cross multiply
    95,415x = 143,122.56 × 29,751
  4. Step 4: Simplify right side
    95,415x = 4,258,039,282.56
  5. Step 5: Solve for x
    x = 4,258,039,282.56/95,415
  6. Step 6: Final answer
    x = 44,626.52

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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.