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Finding the Fourth Proportional to 53,843.67, 74,284.33 and 53,760.63

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Solution

The fourth proportional to 53,843.67, 74,284.33 and 53,760.63 is: 74,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,843.67 : 74,284.33 = 53,760.63 : x
  2. Step 2: Convert to fraction form
    53,843.67/74,284.33 = 53,760.63/x
  3. Step 3: Cross multiply
    53,843.67x = 74,284.33 × 53,760.63
  4. Step 4: Simplify right side
    53,843.67x = 3,993,572,111.12
  5. Step 5: Solve for x
    x = 3,993,572,111.12/53,843.67
  6. Step 6: Final answer
    x = 74,169.77

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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.