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Finding the Fourth Proportional to 65,767.75, 98,652.54 and 21,394.74

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Solution

The fourth proportional to 65,767.75, 98,652.54 and 21,394.74 is: 32,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,767.75 : 98,652.54 = 21,394.74 : x
  2. Step 2: Convert to fraction form
    65,767.75/98,652.54 = 21,394.74/x
  3. Step 3: Cross multiply
    65,767.75x = 98,652.54 × 21,394.74
  4. Step 4: Simplify right side
    65,767.75x = 2,110,645,197.01
  5. Step 5: Solve for x
    x = 2,110,645,197.01/65,767.75
  6. Step 6: Final answer
    x = 32,092.40

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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.