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Finding the Fourth Proportional to 30,382.56, 45,552.32 and 13,506.32

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Solution

The fourth proportional to 30,382.56, 45,552.32 and 13,506.32 is: 20,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.56 : 45,552.32 = 13,506.32 : x
  2. Step 2: Convert to fraction form
    30,382.56/45,552.32 = 13,506.32/x
  3. Step 3: Cross multiply
    30,382.56x = 45,552.32 × 13,506.32
  4. Step 4: Simplify right side
    30,382.56x = 615,244,210.66
  5. Step 5: Solve for x
    x = 615,244,210.66/30,382.56
  6. Step 6: Final answer
    x = 20,249.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.