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Finding the Fourth Proportional to 65,245.72, 97,831.05 and 34,813.48

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Solution

The fourth proportional to 65,245.72, 97,831.05 and 34,813.48 is: 52,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.72 : 97,831.05 = 34,813.48 : x
  2. Step 2: Convert to fraction form
    65,245.72/97,831.05 = 34,813.48/x
  3. Step 3: Cross multiply
    65,245.72x = 97,831.05 × 34,813.48
  4. Step 4: Simplify right side
    65,245.72x = 3,405,839,302.55
  5. Step 5: Solve for x
    x = 3,405,839,302.55/65,245.72
  6. Step 6: Final answer
    x = 52,200.19

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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.