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Finding the Fourth Proportional to 53,814.56, 74,264.46 and 29,942.24

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Solution

The fourth proportional to 53,814.56, 74,264.46 and 29,942.24 is: 41,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814.56 : 74,264.46 = 29,942.24 : x
  2. Step 2: Convert to fraction form
    53,814.56/74,264.46 = 29,942.24/x
  3. Step 3: Cross multiply
    53,814.56x = 74,264.46 × 29,942.24
  4. Step 4: Simplify right side
    53,814.56x = 2,223,644,284.79
  5. Step 5: Solve for x
    x = 2,223,644,284.79/53,814.56
  6. Step 6: Final answer
    x = 41,320.50

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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.