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Finding the Fourth Proportional to 65,141.90, 97,716.72 and 25,161.18

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Solution

The fourth proportional to 65,141.90, 97,716.72 and 25,161.18 is: 37,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.90 : 97,716.72 = 25,161.18 : x
  2. Step 2: Convert to fraction form
    65,141.90/97,716.72 = 25,161.18/x
  3. Step 3: Cross multiply
    65,141.90x = 97,716.72 × 25,161.18
  4. Step 4: Simplify right side
    65,141.90x = 2,458,668,162.32
  5. Step 5: Solve for x
    x = 2,458,668,162.32/65,141.90
  6. Step 6: Final answer
    x = 37,743.27

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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.