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Finding the Fourth Proportional to 65,188.48, 97,758.40 and 25,732.48

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Solution

The fourth proportional to 65,188.48, 97,758.40 and 25,732.48 is: 38,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.48 : 97,758.40 = 25,732.48 : x
  2. Step 2: Convert to fraction form
    65,188.48/97,758.40 = 25,732.48/x
  3. Step 3: Cross multiply
    65,188.48x = 97,758.40 × 25,732.48
  4. Step 4: Simplify right side
    65,188.48x = 2,515,566,072.83
  5. Step 5: Solve for x
    x = 2,515,566,072.83/65,188.48
  6. Step 6: Final answer
    x = 38,589.12

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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.