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Finding the Fourth Proportional to 65,184.72, 97,611.62 and 54,627

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Solution

The fourth proportional to 65,184.72, 97,611.62 and 54,627 is: 81,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.72 : 97,611.62 = 54,627 : x
  2. Step 2: Convert to fraction form
    65,184.72/97,611.62 = 54,627/x
  3. Step 3: Cross multiply
    65,184.72x = 97,611.62 × 54,627
  4. Step 4: Simplify right side
    65,184.72x = 5,332,229,965.74
  5. Step 5: Solve for x
    x = 5,332,229,965.74/65,184.72
  6. Step 6: Final answer
    x = 81,801.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.