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Finding the Fourth Proportional to 34,798.20, 47,999.62 and 20,641

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Solution

The fourth proportional to 34,798.20, 47,999.62 and 20,641 is: 28,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,798.20 : 47,999.62 = 20,641 : x
  2. Step 2: Convert to fraction form
    34,798.20/47,999.62 = 20,641/x
  3. Step 3: Cross multiply
    34,798.20x = 47,999.62 × 20,641
  4. Step 4: Simplify right side
    34,798.20x = 990,760,156.42
  5. Step 5: Solve for x
    x = 990,760,156.42/34,798.20
  6. Step 6: Final answer
    x = 28,471.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.