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Finding the Fourth Proportional to 32,774.72, 49,165.26 and 13,048.66

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Solution

The fourth proportional to 32,774.72, 49,165.26 and 13,048.66 is: 19,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.72 : 49,165.26 = 13,048.66 : x
  2. Step 2: Convert to fraction form
    32,774.72/49,165.26 = 13,048.66/x
  3. Step 3: Cross multiply
    32,774.72x = 49,165.26 × 13,048.66
  4. Step 4: Simplify right side
    32,774.72x = 641,540,761.55
  5. Step 5: Solve for x
    x = 641,540,761.55/32,774.72
  6. Step 6: Final answer
    x = 19,574.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.