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Finding the Fourth Proportional to 65,224.72, 97,864.94 and 27,802.43

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Solution

The fourth proportional to 65,224.72, 97,864.94 and 27,802.43 is: 41,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224.72 : 97,864.94 = 27,802.43 : x
  2. Step 2: Convert to fraction form
    65,224.72/97,864.94 = 27,802.43/x
  3. Step 3: Cross multiply
    65,224.72x = 97,864.94 × 27,802.43
  4. Step 4: Simplify right side
    65,224.72x = 2,720,883,143.80
  5. Step 5: Solve for x
    x = 2,720,883,143.80/65,224.72
  6. Step 6: Final answer
    x = 41,715.52

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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.