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Finding the Fourth Proportional to 83,303.25, 114,972.45 and 65,533.87

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Solution

The fourth proportional to 83,303.25, 114,972.45 and 65,533.87 is: 90,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,303.25 : 114,972.45 = 65,533.87 : x
  2. Step 2: Convert to fraction form
    83,303.25/114,972.45 = 65,533.87/x
  3. Step 3: Cross multiply
    83,303.25x = 114,972.45 × 65,533.87
  4. Step 4: Simplify right side
    83,303.25x = 7,534,589,591.88
  5. Step 5: Solve for x
    x = 7,534,589,591.88/83,303.25
  6. Step 6: Final answer
    x = 90,447.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.