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Finding the Fourth Proportional to 47,492.35, 65,540.13 and 27,352.84

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Solution

The fourth proportional to 47,492.35, 65,540.13 and 27,352.84 is: 37,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,492.35 : 65,540.13 = 27,352.84 : x
  2. Step 2: Convert to fraction form
    47,492.35/65,540.13 = 27,352.84/x
  3. Step 3: Cross multiply
    47,492.35x = 65,540.13 × 27,352.84
  4. Step 4: Simplify right side
    47,492.35x = 1,792,708,689.47
  5. Step 5: Solve for x
    x = 1,792,708,689.47/47,492.35
  6. Step 6: Final answer
    x = 37,747.31

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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.