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Finding the Fourth Proportional to 53,015.99, 73,160.22 and 29,142.50

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Solution

The fourth proportional to 53,015.99, 73,160.22 and 29,142.50 is: 40,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,015.99 : 73,160.22 = 29,142.50 : x
  2. Step 2: Convert to fraction form
    53,015.99/73,160.22 = 29,142.50/x
  3. Step 3: Cross multiply
    53,015.99x = 73,160.22 × 29,142.50
  4. Step 4: Simplify right side
    53,015.99x = 2,132,071,414.28
  5. Step 5: Solve for x
    x = 2,132,071,414.28/53,015.99
  6. Step 6: Final answer
    x = 40,215.63

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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.