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Finding the Fourth Proportional to 65,530.50, 98,295.75 and 21,754.50

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Solution

The fourth proportional to 65,530.50, 98,295.75 and 21,754.50 is: 32,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530.50 : 98,295.75 = 21,754.50 : x
  2. Step 2: Convert to fraction form
    65,530.50/98,295.75 = 21,754.50/x
  3. Step 3: Cross multiply
    65,530.50x = 98,295.75 × 21,754.50
  4. Step 4: Simplify right side
    65,530.50x = 2,138,374,893.38
  5. Step 5: Solve for x
    x = 2,138,374,893.38/65,530.50
  6. Step 6: Final answer
    x = 32,631.75

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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.