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Finding the Fourth Proportional to 30,414.98, 45,341.32 and 29,935.66

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Solution

The fourth proportional to 30,414.98, 45,341.32 and 29,935.66 is: 44,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.98 : 45,341.32 = 29,935.66 : x
  2. Step 2: Convert to fraction form
    30,414.98/45,341.32 = 29,935.66/x
  3. Step 3: Cross multiply
    30,414.98x = 45,341.32 × 29,935.66
  4. Step 4: Simplify right side
    30,414.98x = 1,357,322,414.31
  5. Step 5: Solve for x
    x = 1,357,322,414.31/30,414.98
  6. Step 6: Final answer
    x = 44,626.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.