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Finding the Fourth Proportional to 37,646.19, 51,960.56 and 27,589.23

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Solution

The fourth proportional to 37,646.19, 51,960.56 and 27,589.23 is: 38,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.19 : 51,960.56 = 27,589.23 : x
  2. Step 2: Convert to fraction form
    37,646.19/51,960.56 = 27,589.23/x
  3. Step 3: Cross multiply
    37,646.19x = 51,960.56 × 27,589.23
  4. Step 4: Simplify right side
    37,646.19x = 1,433,551,702.82
  5. Step 5: Solve for x
    x = 1,433,551,702.82/37,646.19
  6. Step 6: Final answer
    x = 38,079.60

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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.