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Finding the Fourth Proportional to 42,794, 64,175.26 and 14,706.08

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Solution

The fourth proportional to 42,794, 64,175.26 and 14,706.08 is: 22,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,794 : 64,175.26 = 14,706.08 : x
  2. Step 2: Convert to fraction form
    42,794/64,175.26 = 14,706.08/x
  3. Step 3: Cross multiply
    42,794x = 64,175.26 × 14,706.08
  4. Step 4: Simplify right side
    42,794x = 943,766,434.05
  5. Step 5: Solve for x
    x = 943,766,434.05/42,794
  6. Step 6: Final answer
    x = 22,053.71

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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.