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Finding the Fourth Proportional to 65,706.96, 98,548.92 and 21,327.24

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Solution

The fourth proportional to 65,706.96, 98,548.92 and 21,327.24 is: 31,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706.96 : 98,548.92 = 21,327.24 : x
  2. Step 2: Convert to fraction form
    65,706.96/98,548.92 = 21,327.24/x
  3. Step 3: Cross multiply
    65,706.96x = 98,548.92 × 21,327.24
  4. Step 4: Simplify right side
    65,706.96x = 2,101,776,468.58
  5. Step 5: Solve for x
    x = 2,101,776,468.58/65,706.96
  6. Step 6: Final answer
    x = 31,987.12

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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.