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Finding the Fourth Proportional to 42,614.50, 58,746.52 and 29,828.11

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Solution

The fourth proportional to 42,614.50, 58,746.52 and 29,828.11 is: 41,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614.50 : 58,746.52 = 29,828.11 : x
  2. Step 2: Convert to fraction form
    42,614.50/58,746.52 = 29,828.11/x
  3. Step 3: Cross multiply
    42,614.50x = 58,746.52 × 29,828.11
  4. Step 4: Simplify right side
    42,614.50x = 1,752,297,660.68
  5. Step 5: Solve for x
    x = 1,752,297,660.68/42,614.50
  6. Step 6: Final answer
    x = 41,119.75

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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.