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Finding the Fourth Proportional to 65,825.07, 98,747.86 and 21,441.50

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Solution

The fourth proportional to 65,825.07, 98,747.86 and 21,441.50 is: 32,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.07 : 98,747.86 = 21,441.50 : x
  2. Step 2: Convert to fraction form
    65,825.07/98,747.86 = 21,441.50/x
  3. Step 3: Cross multiply
    65,825.07x = 98,747.86 × 21,441.50
  4. Step 4: Simplify right side
    65,825.07x = 2,117,302,657.22
  5. Step 5: Solve for x
    x = 2,117,302,657.22/65,825.07
  6. Step 6: Final answer
    x = 32,165.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.