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Finding the Fourth Proportional to 96,058.50, 144,088.56 and 33,729

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Solution

The fourth proportional to 96,058.50, 144,088.56 and 33,729 is: 50,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,058.50 : 144,088.56 = 33,729 : x
  2. Step 2: Convert to fraction form
    96,058.50/144,088.56 = 33,729/x
  3. Step 3: Cross multiply
    96,058.50x = 144,088.56 × 33,729
  4. Step 4: Simplify right side
    96,058.50x = 4,859,963,040.24
  5. Step 5: Solve for x
    x = 4,859,963,040.24/96,058.50
  6. Step 6: Final answer
    x = 50,593.78

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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.