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Finding the Fourth Proportional to 65,803.77, 98,705.66 and 15,883.83

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Solution

The fourth proportional to 65,803.77, 98,705.66 and 15,883.83 is: 23,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803.77 : 98,705.66 = 15,883.83 : x
  2. Step 2: Convert to fraction form
    65,803.77/98,705.66 = 15,883.83/x
  3. Step 3: Cross multiply
    65,803.77x = 98,705.66 × 15,883.83
  4. Step 4: Simplify right side
    65,803.77x = 1,567,823,844.06
  5. Step 5: Solve for x
    x = 1,567,823,844.06/65,803.77
  6. Step 6: Final answer
    x = 23,825.75

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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.