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Finding the Fourth Proportional to 65,016, 97,523.68 and 20,641.80

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Solution

The fourth proportional to 65,016, 97,523.68 and 20,641.80 is: 30,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016 : 97,523.68 = 20,641.80 : x
  2. Step 2: Convert to fraction form
    65,016/97,523.68 = 20,641.80/x
  3. Step 3: Cross multiply
    65,016x = 97,523.68 × 20,641.80
  4. Step 4: Simplify right side
    65,016x = 2,013,064,297.82
  5. Step 5: Solve for x
    x = 2,013,064,297.82/65,016
  6. Step 6: Final answer
    x = 30,962.60

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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.