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Finding the Fourth Proportional to 65,382.76, 97,988.06 and 25,918.36

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Solution

The fourth proportional to 65,382.76, 97,988.06 and 25,918.36 is: 38,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,382.76 : 97,988.06 = 25,918.36 : x
  2. Step 2: Convert to fraction form
    65,382.76/97,988.06 = 25,918.36/x
  3. Step 3: Cross multiply
    65,382.76x = 97,988.06 × 25,918.36
  4. Step 4: Simplify right side
    65,382.76x = 2,539,689,814.78
  5. Step 5: Solve for x
    x = 2,539,689,814.78/65,382.76
  6. Step 6: Final answer
    x = 38,843.42

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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.