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Finding the Fourth Proportional to 115,264.64, 172,896.96 and 59,744

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Solution

The fourth proportional to 115,264.64, 172,896.96 and 59,744 is: 89,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,264.64 : 172,896.96 = 59,744 : x
  2. Step 2: Convert to fraction form
    115,264.64/172,896.96 = 59,744/x
  3. Step 3: Cross multiply
    115,264.64x = 172,896.96 × 59,744
  4. Step 4: Simplify right side
    115,264.64x = 10,329,555,978.24
  5. Step 5: Solve for x
    x = 10,329,555,978.24/115,264.64
  6. Step 6: Final answer
    x = 89,616

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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.