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Finding the Fourth Proportional to 42,847, 64,297.10 and 20,662.64

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Solution

The fourth proportional to 42,847, 64,297.10 and 20,662.64 is: 31,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,847 : 64,297.10 = 20,662.64 : x
  2. Step 2: Convert to fraction form
    42,847/64,297.10 = 20,662.64/x
  3. Step 3: Cross multiply
    42,847x = 64,297.10 × 20,662.64
  4. Step 4: Simplify right side
    42,847x = 1,328,547,830.34
  5. Step 5: Solve for x
    x = 1,328,547,830.34/42,847
  6. Step 6: Final answer
    x = 31,006.79

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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.