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Finding the Fourth Proportional to 65,222.89, 97,862.18 and 27,800.57

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Solution

The fourth proportional to 65,222.89, 97,862.18 and 27,800.57 is: 41,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.89 : 97,862.18 = 27,800.57 : x
  2. Step 2: Convert to fraction form
    65,222.89/97,862.18 = 27,800.57/x
  3. Step 3: Cross multiply
    65,222.89x = 97,862.18 × 27,800.57
  4. Step 4: Simplify right side
    65,222.89x = 2,720,624,491.10
  5. Step 5: Solve for x
    x = 2,720,624,491.10/65,222.89
  6. Step 6: Final answer
    x = 41,712.73

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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.