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Finding the Fourth Proportional to 65,110.60, 97,512.30 and 40,227.40

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Solution

The fourth proportional to 65,110.60, 97,512.30 and 40,227.40 is: 60,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110.60 : 97,512.30 = 40,227.40 : x
  2. Step 2: Convert to fraction form
    65,110.60/97,512.30 = 40,227.40/x
  3. Step 3: Cross multiply
    65,110.60x = 97,512.30 × 40,227.40
  4. Step 4: Simplify right side
    65,110.60x = 3,922,666,297.02
  5. Step 5: Solve for x
    x = 3,922,666,297.02/65,110.60
  6. Step 6: Final answer
    x = 60,246.20

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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.