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Finding the Fourth Proportional to 65,234.26, 97,895.19 and 23,681.26

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Solution

The fourth proportional to 65,234.26, 97,895.19 and 23,681.26 is: 35,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.26 : 97,895.19 = 23,681.26 : x
  2. Step 2: Convert to fraction form
    65,234.26/97,895.19 = 23,681.26/x
  3. Step 3: Cross multiply
    65,234.26x = 97,895.19 × 23,681.26
  4. Step 4: Simplify right side
    65,234.26x = 2,318,280,957.66
  5. Step 5: Solve for x
    x = 2,318,280,957.66/65,234.26
  6. Step 6: Final answer
    x = 35,537.79

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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.