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Finding the Fourth Proportional to 42,846, 64,295.60 and 20,661.64

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Solution

The fourth proportional to 42,846, 64,295.60 and 20,661.64 is: 31,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,846 : 64,295.60 = 20,661.64 : x
  2. Step 2: Convert to fraction form
    42,846/64,295.60 = 20,661.64/x
  3. Step 3: Cross multiply
    42,846x = 64,295.60 × 20,661.64
  4. Step 4: Simplify right side
    42,846x = 1,328,452,540.78
  5. Step 5: Solve for x
    x = 1,328,452,540.78/42,846
  6. Step 6: Final answer
    x = 31,005.29

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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.