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Finding the Fourth Proportional to 53,716.36, 74,124.52 and 29,841

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Solution

The fourth proportional to 53,716.36, 74,124.52 and 29,841 is: 41,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,716.36 : 74,124.52 = 29,841 : x
  2. Step 2: Convert to fraction form
    53,716.36/74,124.52 = 29,841/x
  3. Step 3: Cross multiply
    53,716.36x = 74,124.52 × 29,841
  4. Step 4: Simplify right side
    53,716.36x = 2,211,949,801.32
  5. Step 5: Solve for x
    x = 2,211,949,801.32/53,716.36
  6. Step 6: Final answer
    x = 41,178.33

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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.