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Finding the Fourth Proportional to 32,508.52, 48,762.80 and 7,884.52

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Solution

The fourth proportional to 32,508.52, 48,762.80 and 7,884.52 is: 11,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.52 : 48,762.80 = 7,884.52 : x
  2. Step 2: Convert to fraction form
    32,508.52/48,762.80 = 7,884.52/x
  3. Step 3: Cross multiply
    32,508.52x = 48,762.80 × 7,884.52
  4. Step 4: Simplify right side
    32,508.52x = 384,471,271.86
  5. Step 5: Solve for x
    x = 384,471,271.86/32,508.52
  6. Step 6: Final answer
    x = 11,826.78

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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.