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Finding the Fourth Proportional to 65,834.49, 98,728.40 and 23,703.27

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Solution

The fourth proportional to 65,834.49, 98,728.40 and 23,703.27 is: 35,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,834.49 : 98,728.40 = 23,703.27 : x
  2. Step 2: Convert to fraction form
    65,834.49/98,728.40 = 23,703.27/x
  3. Step 3: Cross multiply
    65,834.49x = 98,728.40 × 23,703.27
  4. Step 4: Simplify right side
    65,834.49x = 2,340,185,803.35
  5. Step 5: Solve for x
    x = 2,340,185,803.35/65,834.49
  6. Step 6: Final answer
    x = 35,546.50

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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.