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Finding the Fourth Proportional to 65,232.97, 97,818.62 and 25,270.67

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Solution

The fourth proportional to 65,232.97, 97,818.62 and 25,270.67 is: 37,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.97 : 97,818.62 = 25,270.67 : x
  2. Step 2: Convert to fraction form
    65,232.97/97,818.62 = 25,270.67/x
  3. Step 3: Cross multiply
    65,232.97x = 97,818.62 × 25,270.67
  4. Step 4: Simplify right side
    65,232.97x = 2,471,942,367.48
  5. Step 5: Solve for x
    x = 2,471,942,367.48/65,232.97
  6. Step 6: Final answer
    x = 37,894.06

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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.