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Finding the Fourth Proportional to 65,965.61, 98,956.62 and 21,580.43

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Solution

The fourth proportional to 65,965.61, 98,956.62 and 21,580.43 is: 32,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,965.61 : 98,956.62 = 21,580.43 : x
  2. Step 2: Convert to fraction form
    65,965.61/98,956.62 = 21,580.43/x
  3. Step 3: Cross multiply
    65,965.61x = 98,956.62 × 21,580.43
  4. Step 4: Simplify right side
    65,965.61x = 2,135,526,410.95
  5. Step 5: Solve for x
    x = 2,135,526,410.95/65,965.61
  6. Step 6: Final answer
    x = 32,373.33

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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.