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Finding the Fourth Proportional to 65,302.44, 97,963.02 and 24,790.91

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Solution

The fourth proportional to 65,302.44, 97,963.02 and 24,790.91 is: 37,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302.44 : 97,963.02 = 24,790.91 : x
  2. Step 2: Convert to fraction form
    65,302.44/97,963.02 = 24,790.91/x
  3. Step 3: Cross multiply
    65,302.44x = 97,963.02 × 24,790.91
  4. Step 4: Simplify right side
    65,302.44x = 2,428,591,922.33
  5. Step 5: Solve for x
    x = 2,428,591,922.33/65,302.44
  6. Step 6: Final answer
    x = 37,189.91

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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.