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Finding the Fourth Proportional to 83,143.11, 114,733.22 and 45,410.07

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Solution

The fourth proportional to 83,143.11, 114,733.22 and 45,410.07 is: 62,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.11 : 114,733.22 = 45,410.07 : x
  2. Step 2: Convert to fraction form
    83,143.11/114,733.22 = 45,410.07/x
  3. Step 3: Cross multiply
    83,143.11x = 114,733.22 × 45,410.07
  4. Step 4: Simplify right side
    83,143.11x = 5,210,043,324.48
  5. Step 5: Solve for x
    x = 5,210,043,324.48/83,143.11
  6. Step 6: Final answer
    x = 62,663.56

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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.