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Finding the Fourth Proportional to 30,596.32, 45,867.75 and 11,863.45

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Solution

The fourth proportional to 30,596.32, 45,867.75 and 11,863.45 is: 17,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.32 : 45,867.75 = 11,863.45 : x
  2. Step 2: Convert to fraction form
    30,596.32/45,867.75 = 11,863.45/x
  3. Step 3: Cross multiply
    30,596.32x = 45,867.75 × 11,863.45
  4. Step 4: Simplify right side
    30,596.32x = 544,149,758.74
  5. Step 5: Solve for x
    x = 544,149,758.74/30,596.32
  6. Step 6: Final answer
    x = 17,784.81

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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.