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Finding the Fourth Proportional to 53,835.90, 74,295 and 29,965.20

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Solution

The fourth proportional to 53,835.90, 74,295 and 29,965.20 is: 41,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,835.90 : 74,295 = 29,965.20 : x
  2. Step 2: Convert to fraction form
    53,835.90/74,295 = 29,965.20/x
  3. Step 3: Cross multiply
    53,835.90x = 74,295 × 29,965.20
  4. Step 4: Simplify right side
    53,835.90x = 2,226,264,534
  5. Step 5: Solve for x
    x = 2,226,264,534/53,835.90
  6. Step 6: Final answer
    x = 41,352.79

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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.