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Finding the Fourth Proportional to 65,852.72, 90,876.99 and 35,638.04

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Solution

The fourth proportional to 65,852.72, 90,876.99 and 35,638.04 is: 49,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852.72 : 90,876.99 = 35,638.04 : x
  2. Step 2: Convert to fraction form
    65,852.72/90,876.99 = 35,638.04/x
  3. Step 3: Cross multiply
    65,852.72x = 90,876.99 × 35,638.04
  4. Step 4: Simplify right side
    65,852.72x = 3,238,677,995.14
  5. Step 5: Solve for x
    x = 3,238,677,995.14/65,852.72
  6. Step 6: Final answer
    x = 49,180.62

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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.