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Finding the Fourth Proportional to 65,359.94, 98,020.22 and 23,234.45

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Solution

The fourth proportional to 65,359.94, 98,020.22 and 23,234.45 is: 34,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,359.94 : 98,020.22 = 23,234.45 : x
  2. Step 2: Convert to fraction form
    65,359.94/98,020.22 = 23,234.45/x
  3. Step 3: Cross multiply
    65,359.94x = 98,020.22 × 23,234.45
  4. Step 4: Simplify right side
    65,359.94x = 2,277,445,294.31
  5. Step 5: Solve for x
    x = 2,277,445,294.31/65,359.94
  6. Step 6: Final answer
    x = 34,844.67

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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.