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Finding the Fourth Proportional to 32,706.26, 49,064.19 and 10,512.32

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Solution

The fourth proportional to 32,706.26, 49,064.19 and 10,512.32 is: 15,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.26 : 49,064.19 = 10,512.32 : x
  2. Step 2: Convert to fraction form
    32,706.26/49,064.19 = 10,512.32/x
  3. Step 3: Cross multiply
    32,706.26x = 49,064.19 × 10,512.32
  4. Step 4: Simplify right side
    32,706.26x = 515,778,465.82
  5. Step 5: Solve for x
    x = 515,778,465.82/32,706.26
  6. Step 6: Final answer
    x = 15,770.02

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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.