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Finding the Fourth Proportional to 30,616.32, 45,815.04 and 23,997

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Solution

The fourth proportional to 30,616.32, 45,815.04 and 23,997 is: 35,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.32 : 45,815.04 = 23,997 : x
  2. Step 2: Convert to fraction form
    30,616.32/45,815.04 = 23,997/x
  3. Step 3: Cross multiply
    30,616.32x = 45,815.04 × 23,997
  4. Step 4: Simplify right side
    30,616.32x = 1,099,423,514.88
  5. Step 5: Solve for x
    x = 1,099,423,514.88/30,616.32
  6. Step 6: Final answer
    x = 35,909.72

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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.