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Finding the Fourth Proportional to 53,838.36, 74,288.07 and 29,964.42

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Solution

The fourth proportional to 53,838.36, 74,288.07 and 29,964.42 is: 41,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838.36 : 74,288.07 = 29,964.42 : x
  2. Step 2: Convert to fraction form
    53,838.36/74,288.07 = 29,964.42/x
  3. Step 3: Cross multiply
    53,838.36x = 74,288.07 × 29,964.42
  4. Step 4: Simplify right side
    53,838.36x = 2,225,998,930.47
  5. Step 5: Solve for x
    x = 2,225,998,930.47/53,838.36
  6. Step 6: Final answer
    x = 41,345.96

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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.