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Finding the Fourth Proportional to 30,943.32, 46,414.56 and 7,569.96

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Solution

The fourth proportional to 30,943.32, 46,414.56 and 7,569.96 is: 11,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.32 : 46,414.56 = 7,569.96 : x
  2. Step 2: Convert to fraction form
    30,943.32/46,414.56 = 7,569.96/x
  3. Step 3: Cross multiply
    30,943.32x = 46,414.56 × 7,569.96
  4. Step 4: Simplify right side
    30,943.32x = 351,356,362.62
  5. Step 5: Solve for x
    x = 351,356,362.62/30,943.32
  6. Step 6: Final answer
    x = 11,354.84

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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.