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Finding the Fourth Proportional to 32,741.54, 49,115.93 and 11,686.49

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Solution

The fourth proportional to 32,741.54, 49,115.93 and 11,686.49 is: 17,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,741.54 : 49,115.93 = 11,686.49 : x
  2. Step 2: Convert to fraction form
    32,741.54/49,115.93 = 11,686.49/x
  3. Step 3: Cross multiply
    32,741.54x = 49,115.93 × 11,686.49
  4. Step 4: Simplify right side
    32,741.54x = 573,992,520.77
  5. Step 5: Solve for x
    x = 573,992,520.77/32,741.54
  6. Step 6: Final answer
    x = 17,531.02

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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.