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Finding the Fourth Proportional to 65,865.81, 98,803.11 and 23,166.12

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Solution

The fourth proportional to 65,865.81, 98,803.11 and 23,166.12 is: 34,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,865.81 : 98,803.11 = 23,166.12 : x
  2. Step 2: Convert to fraction form
    65,865.81/98,803.11 = 23,166.12/x
  3. Step 3: Cross multiply
    65,865.81x = 98,803.11 × 23,166.12
  4. Step 4: Simplify right side
    65,865.81x = 2,288,884,702.63
  5. Step 5: Solve for x
    x = 2,288,884,702.63/65,865.81
  6. Step 6: Final answer
    x = 34,750.73

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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.