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Finding the Fourth Proportional to 30,892.64, 46,338.56 and 7,519.12

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Solution

The fourth proportional to 30,892.64, 46,338.56 and 7,519.12 is: 11,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.64 : 46,338.56 = 7,519.12 : x
  2. Step 2: Convert to fraction form
    30,892.64/46,338.56 = 7,519.12/x
  3. Step 3: Cross multiply
    30,892.64x = 46,338.56 × 7,519.12
  4. Step 4: Simplify right side
    30,892.64x = 348,425,193.27
  5. Step 5: Solve for x
    x = 348,425,193.27/30,892.64
  6. Step 6: Final answer
    x = 11,278.58

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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.