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Finding the Fourth Proportional to 32,861.86, 49,295.52 and 13,129.66

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Solution

The fourth proportional to 32,861.86, 49,295.52 and 13,129.66 is: 19,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,861.86 : 49,295.52 = 13,129.66 : x
  2. Step 2: Convert to fraction form
    32,861.86/49,295.52 = 13,129.66/x
  3. Step 3: Cross multiply
    32,861.86x = 49,295.52 × 13,129.66
  4. Step 4: Simplify right side
    32,861.86x = 647,233,417.12
  5. Step 5: Solve for x
    x = 647,233,417.12/32,861.86
  6. Step 6: Final answer
    x = 19,695.58

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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.