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Finding the Fourth Proportional to 115,752, 159,738.72 and 62,760

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Solution

The fourth proportional to 115,752, 159,738.72 and 62,760 is: 86,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,752 : 159,738.72 = 62,760 : x
  2. Step 2: Convert to fraction form
    115,752/159,738.72 = 62,760/x
  3. Step 3: Cross multiply
    115,752x = 159,738.72 × 62,760
  4. Step 4: Simplify right side
    115,752x = 10,025,202,067.20
  5. Step 5: Solve for x
    x = 10,025,202,067.20/115,752
  6. Step 6: Final answer
    x = 86,609.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.