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Finding the Fourth Proportional to 35,353.60, 48,788.58 and 19,438

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Solution

The fourth proportional to 35,353.60, 48,788.58 and 19,438 is: 26,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,353.60 : 48,788.58 = 19,438 : x
  2. Step 2: Convert to fraction form
    35,353.60/48,788.58 = 19,438/x
  3. Step 3: Cross multiply
    35,353.60x = 48,788.58 × 19,438
  4. Step 4: Simplify right side
    35,353.60x = 948,352,418.04
  5. Step 5: Solve for x
    x = 948,352,418.04/35,353.60
  6. Step 6: Final answer
    x = 26,824.78

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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.