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Finding the Fourth Proportional to 115,830, 159,844.32 and 65,529

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Solution

The fourth proportional to 115,830, 159,844.32 and 65,529 is: 90,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,830 : 159,844.32 = 65,529 : x
  2. Step 2: Convert to fraction form
    115,830/159,844.32 = 65,529/x
  3. Step 3: Cross multiply
    115,830x = 159,844.32 × 65,529
  4. Step 4: Simplify right side
    115,830x = 10,474,438,445.28
  5. Step 5: Solve for x
    x = 10,474,438,445.28/115,830
  6. Step 6: Final answer
    x = 90,429.41

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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.