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Finding the Fourth Proportional to 34,657.70, 47,827.46 and 18,742.14

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Solution

The fourth proportional to 34,657.70, 47,827.46 and 18,742.14 is: 25,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.70 : 47,827.46 = 18,742.14 : x
  2. Step 2: Convert to fraction form
    34,657.70/47,827.46 = 18,742.14/x
  3. Step 3: Cross multiply
    34,657.70x = 47,827.46 × 18,742.14
  4. Step 4: Simplify right side
    34,657.70x = 896,388,951.16
  5. Step 5: Solve for x
    x = 896,388,951.16/34,657.70
  6. Step 6: Final answer
    x = 25,864.06

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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.