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Finding the Fourth Proportional to 65,141.88, 97,725.82 and 27,701.72

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Solution

The fourth proportional to 65,141.88, 97,725.82 and 27,701.72 is: 41,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.88 : 97,725.82 = 27,701.72 : x
  2. Step 2: Convert to fraction form
    65,141.88/97,725.82 = 27,701.72/x
  3. Step 3: Cross multiply
    65,141.88x = 97,725.82 × 27,701.72
  4. Step 4: Simplify right side
    65,141.88x = 2,707,173,302.41
  5. Step 5: Solve for x
    x = 2,707,173,302.41/65,141.88
  6. Step 6: Final answer
    x = 41,558.11

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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.