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Finding the Fourth Proportional to 65,403.08, 98,122.80 and 23,292.80

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Solution

The fourth proportional to 65,403.08, 98,122.80 and 23,292.80 is: 34,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403.08 : 98,122.80 = 23,292.80 : x
  2. Step 2: Convert to fraction form
    65,403.08/98,122.80 = 23,292.80/x
  3. Step 3: Cross multiply
    65,403.08x = 98,122.80 × 23,292.80
  4. Step 4: Simplify right side
    65,403.08x = 2,285,554,755.84
  5. Step 5: Solve for x
    x = 2,285,554,755.84/65,403.08
  6. Step 6: Final answer
    x = 34,945.67

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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.