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Finding the Fourth Proportional to 35,522.73, 49,023 and 20,420.28

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Solution

The fourth proportional to 35,522.73, 49,023 and 20,420.28 is: 28,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522.73 : 49,023 = 20,420.28 : x
  2. Step 2: Convert to fraction form
    35,522.73/49,023 = 20,420.28/x
  3. Step 3: Cross multiply
    35,522.73x = 49,023 × 20,420.28
  4. Step 4: Simplify right side
    35,522.73x = 1,001,063,386.44
  5. Step 5: Solve for x
    x = 1,001,063,386.44/35,522.73
  6. Step 6: Final answer
    x = 28,180.92

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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.