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Finding the Fourth Proportional to 30,508.83, 45,758.54 and 8,324.01

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Solution

The fourth proportional to 30,508.83, 45,758.54 and 8,324.01 is: 12,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.83 : 45,758.54 = 8,324.01 : x
  2. Step 2: Convert to fraction form
    30,508.83/45,758.54 = 8,324.01/x
  3. Step 3: Cross multiply
    30,508.83x = 45,758.54 × 8,324.01
  4. Step 4: Simplify right side
    30,508.83x = 380,894,565.36
  5. Step 5: Solve for x
    x = 380,894,565.36/30,508.83
  6. Step 6: Final answer
    x = 12,484.73

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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.