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Finding the Fourth Proportional to 34,801.21, 48,023 and 20,461.62

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Solution

The fourth proportional to 34,801.21, 48,023 and 20,461.62 is: 28,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,801.21 : 48,023 = 20,461.62 : x
  2. Step 2: Convert to fraction form
    34,801.21/48,023 = 20,461.62/x
  3. Step 3: Cross multiply
    34,801.21x = 48,023 × 20,461.62
  4. Step 4: Simplify right side
    34,801.21x = 982,628,377.26
  5. Step 5: Solve for x
    x = 982,628,377.26/34,801.21
  6. Step 6: Final answer
    x = 28,235.47

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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.