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Finding the Fourth Proportional to 65,216.60, 97,824.90 and 34,112.60

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Solution

The fourth proportional to 65,216.60, 97,824.90 and 34,112.60 is: 51,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.60 : 97,824.90 = 34,112.60 : x
  2. Step 2: Convert to fraction form
    65,216.60/97,824.90 = 34,112.60/x
  3. Step 3: Cross multiply
    65,216.60x = 97,824.90 × 34,112.60
  4. Step 4: Simplify right side
    65,216.60x = 3,337,061,683.74
  5. Step 5: Solve for x
    x = 3,337,061,683.74/65,216.60
  6. Step 6: Final answer
    x = 51,168.90

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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.