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Finding the Fourth Proportional to 65,356.50, 98,049.33 and 23,803.50

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Solution

The fourth proportional to 65,356.50, 98,049.33 and 23,803.50 is: 35,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356.50 : 98,049.33 = 23,803.50 : x
  2. Step 2: Convert to fraction form
    65,356.50/98,049.33 = 23,803.50/x
  3. Step 3: Cross multiply
    65,356.50x = 98,049.33 × 23,803.50
  4. Step 4: Simplify right side
    65,356.50x = 2,333,917,226.66
  5. Step 5: Solve for x
    x = 2,333,917,226.66/65,356.50
  6. Step 6: Final answer
    x = 35,710.56

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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.