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Finding the Fourth Proportional to 83,018.39, 114,574.21 and 50,771.87

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Solution

The fourth proportional to 83,018.39, 114,574.21 and 50,771.87 is: 70,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.39 : 114,574.21 = 50,771.87 : x
  2. Step 2: Convert to fraction form
    83,018.39/114,574.21 = 50,771.87/x
  3. Step 3: Cross multiply
    83,018.39x = 114,574.21 × 50,771.87
  4. Step 4: Simplify right side
    83,018.39x = 5,817,146,625.33
  5. Step 5: Solve for x
    x = 5,817,146,625.33/83,018.39
  6. Step 6: Final answer
    x = 70,070.58

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