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Finding the Fourth Proportional to 34,274.58, 47,288.16 and 19,165.20

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Solution

The fourth proportional to 34,274.58, 47,288.16 and 19,165.20 is: 26,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274.58 : 47,288.16 = 19,165.20 : x
  2. Step 2: Convert to fraction form
    34,274.58/47,288.16 = 19,165.20/x
  3. Step 3: Cross multiply
    34,274.58x = 47,288.16 × 19,165.20
  4. Step 4: Simplify right side
    34,274.58x = 906,287,044.03
  5. Step 5: Solve for x
    x = 906,287,044.03/34,274.58
  6. Step 6: Final answer
    x = 26,441.96

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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.