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Finding the Fourth Proportional to 38,897.94, 53,665.86 and 23,589.17

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Solution

The fourth proportional to 38,897.94, 53,665.86 and 23,589.17 is: 32,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897.94 : 53,665.86 = 23,589.17 : x
  2. Step 2: Convert to fraction form
    38,897.94/53,665.86 = 23,589.17/x
  3. Step 3: Cross multiply
    38,897.94x = 53,665.86 × 23,589.17
  4. Step 4: Simplify right side
    38,897.94x = 1,265,932,826.41
  5. Step 5: Solve for x
    x = 1,265,932,826.41/38,897.94
  6. Step 6: Final answer
    x = 32,544.98

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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.