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Finding the Fourth Proportional to 32,611.50, 48,920.76 and 10,419.66

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Solution

The fourth proportional to 32,611.50, 48,920.76 and 10,419.66 is: 15,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611.50 : 48,920.76 = 10,419.66 : x
  2. Step 2: Convert to fraction form
    32,611.50/48,920.76 = 10,419.66/x
  3. Step 3: Cross multiply
    32,611.50x = 48,920.76 × 10,419.66
  4. Step 4: Simplify right side
    32,611.50x = 509,737,686.14
  5. Step 5: Solve for x
    x = 509,737,686.14/32,611.50
  6. Step 6: Final answer
    x = 15,630.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.