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Finding the Fourth Proportional to 83,299, 114,954.29 and 45,574.06

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Solution

The fourth proportional to 83,299, 114,954.29 and 45,574.06 is: 62,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,299 : 114,954.29 = 45,574.06 : x
  2. Step 2: Convert to fraction form
    83,299/114,954.29 = 45,574.06/x
  3. Step 3: Cross multiply
    83,299x = 114,954.29 × 45,574.06
  4. Step 4: Simplify right side
    83,299x = 5,238,933,709.72
  5. Step 5: Solve for x
    x = 5,238,933,709.72/83,299
  6. Step 6: Final answer
    x = 62,893.12

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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.