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Finding the Fourth Proportional to 32,705.90, 49,054.24 and 10,516.46

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Solution

The fourth proportional to 32,705.90, 49,054.24 and 10,516.46 is: 15,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.90 : 49,054.24 = 10,516.46 : x
  2. Step 2: Convert to fraction form
    32,705.90/49,054.24 = 10,516.46/x
  3. Step 3: Cross multiply
    32,705.90x = 49,054.24 × 10,516.46
  4. Step 4: Simplify right side
    32,705.90x = 515,876,952.79
  5. Step 5: Solve for x
    x = 515,876,952.79/32,705.90
  6. Step 6: Final answer
    x = 15,773.21

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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.