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Finding the Fourth Proportional to 34,214.64, 47,213.52 and 19,106.13

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Solution

The fourth proportional to 34,214.64, 47,213.52 and 19,106.13 is: 26,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214.64 : 47,213.52 = 19,106.13 : x
  2. Step 2: Convert to fraction form
    34,214.64/47,213.52 = 19,106.13/x
  3. Step 3: Cross multiply
    34,214.64x = 47,213.52 × 19,106.13
  4. Step 4: Simplify right side
    34,214.64x = 902,067,650.88
  5. Step 5: Solve for x
    x = 902,067,650.88/34,214.64
  6. Step 6: Final answer
    x = 26,364.96

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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.