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Finding the Fourth Proportional to 30,612.32, 45,809.04 and 23,993

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Solution

The fourth proportional to 30,612.32, 45,809.04 and 23,993 is: 35,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.32 : 45,809.04 = 23,993 : x
  2. Step 2: Convert to fraction form
    30,612.32/45,809.04 = 23,993/x
  3. Step 3: Cross multiply
    30,612.32x = 45,809.04 × 23,993
  4. Step 4: Simplify right side
    30,612.32x = 1,099,096,296.72
  5. Step 5: Solve for x
    x = 1,099,096,296.72/30,612.32
  6. Step 6: Final answer
    x = 35,903.72

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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.