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Finding the Fourth Proportional to 24,079.56, 36,070.38 and 19,653

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Solution

The fourth proportional to 24,079.56, 36,070.38 and 19,653 is: 29,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,079.56 : 36,070.38 = 19,653 : x
  2. Step 2: Convert to fraction form
    24,079.56/36,070.38 = 19,653/x
  3. Step 3: Cross multiply
    24,079.56x = 36,070.38 × 19,653
  4. Step 4: Simplify right side
    24,079.56x = 708,891,178.14
  5. Step 5: Solve for x
    x = 708,891,178.14/24,079.56
  6. Step 6: Final answer
    x = 29,439.54

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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.