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Finding the Fourth Proportional to 34,594.68, 47,742.42 and 21,161.75

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Solution

The fourth proportional to 34,594.68, 47,742.42 and 21,161.75 is: 29,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,594.68 : 47,742.42 = 21,161.75 : x
  2. Step 2: Convert to fraction form
    34,594.68/47,742.42 = 21,161.75/x
  3. Step 3: Cross multiply
    34,594.68x = 47,742.42 × 21,161.75
  4. Step 4: Simplify right side
    34,594.68x = 1,010,312,917.72
  5. Step 5: Solve for x
    x = 1,010,312,917.72/34,594.68
  6. Step 6: Final answer
    x = 29,204.29

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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.