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Finding the Fourth Proportional to 96,749.40, 133,542 and 58,509

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Solution

The fourth proportional to 96,749.40, 133,542 and 58,509 is: 80,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,749.40 : 133,542 = 58,509 : x
  2. Step 2: Convert to fraction form
    96,749.40/133,542 = 58,509/x
  3. Step 3: Cross multiply
    96,749.40x = 133,542 × 58,509
  4. Step 4: Simplify right side
    96,749.40x = 7,813,408,878
  5. Step 5: Solve for x
    x = 7,813,408,878/96,749.40
  6. Step 6: Final answer
    x = 80,759.25

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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.