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Finding the Fourth Proportional to 32,863.86, 49,298.52 and 13,131.66

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Solution

The fourth proportional to 32,863.86, 49,298.52 and 13,131.66 is: 19,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.86 : 49,298.52 = 13,131.66 : x
  2. Step 2: Convert to fraction form
    32,863.86/49,298.52 = 13,131.66/x
  3. Step 3: Cross multiply
    32,863.86x = 49,298.52 × 13,131.66
  4. Step 4: Simplify right side
    32,863.86x = 647,371,403.14
  5. Step 5: Solve for x
    x = 647,371,403.14/32,863.86
  6. Step 6: Final answer
    x = 19,698.58

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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.