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Finding the Fourth Proportional to 65,902.77, 98,864.06 and 19,149.57

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Solution

The fourth proportional to 65,902.77, 98,864.06 and 19,149.57 is: 28,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.77 : 98,864.06 = 19,149.57 : x
  2. Step 2: Convert to fraction form
    65,902.77/98,864.06 = 19,149.57/x
  3. Step 3: Cross multiply
    65,902.77x = 98,864.06 × 19,149.57
  4. Step 4: Simplify right side
    65,902.77x = 1,893,204,141.71
  5. Step 5: Solve for x
    x = 1,893,204,141.71/65,902.77
  6. Step 6: Final answer
    x = 28,727.23

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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.