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Finding the Fourth Proportional to 34,657.77, 47,827.73 and 18,742.22

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Solution

The fourth proportional to 34,657.77, 47,827.73 and 18,742.22 is: 25,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.77 : 47,827.73 = 18,742.22 : x
  2. Step 2: Convert to fraction form
    34,657.77/47,827.73 = 18,742.22/x
  3. Step 3: Cross multiply
    34,657.77x = 47,827.73 × 18,742.22
  4. Step 4: Simplify right side
    34,657.77x = 896,397,863.62
  5. Step 5: Solve for x
    x = 896,397,863.62/34,657.77
  6. Step 6: Final answer
    x = 25,864.27

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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.