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Finding the Fourth Proportional to 53,687.98, 74,086.47 and 29,813.14

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Solution

The fourth proportional to 53,687.98, 74,086.47 and 29,813.14 is: 41,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,687.98 : 74,086.47 = 29,813.14 : x
  2. Step 2: Convert to fraction form
    53,687.98/74,086.47 = 29,813.14/x
  3. Step 3: Cross multiply
    53,687.98x = 74,086.47 × 29,813.14
  4. Step 4: Simplify right side
    53,687.98x = 2,208,750,302.22
  5. Step 5: Solve for x
    x = 2,208,750,302.22/53,687.98
  6. Step 6: Final answer
    x = 41,140.50

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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.