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Finding the Fourth Proportional to 65,441.66, 98,178.68 and 21,073.37

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Solution

The fourth proportional to 65,441.66, 98,178.68 and 21,073.37 is: 31,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,441.66 : 98,178.68 = 21,073.37 : x
  2. Step 2: Convert to fraction form
    65,441.66/98,178.68 = 21,073.37/x
  3. Step 3: Cross multiply
    65,441.66x = 98,178.68 × 21,073.37
  4. Step 4: Simplify right side
    65,441.66x = 2,068,955,211.54
  5. Step 5: Solve for x
    x = 2,068,955,211.54/65,441.66
  6. Step 6: Final answer
    x = 31,615.26

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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.