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Finding the Fourth Proportional to 42,706.89, 64,099.71 and 21,661.70

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Solution

The fourth proportional to 42,706.89, 64,099.71 and 21,661.70 is: 32,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.89 : 64,099.71 = 21,661.70 : x
  2. Step 2: Convert to fraction form
    42,706.89/64,099.71 = 21,661.70/x
  3. Step 3: Cross multiply
    42,706.89x = 64,099.71 × 21,661.70
  4. Step 4: Simplify right side
    42,706.89x = 1,388,508,367.61
  5. Step 5: Solve for x
    x = 1,388,508,367.61/42,706.89
  6. Step 6: Final answer
    x = 32,512.51

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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.