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Finding the Fourth Proportional to 32,483.86, 48,725.79 and 7,859.86

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Solution

The fourth proportional to 32,483.86, 48,725.79 and 7,859.86 is: 11,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.86 : 48,725.79 = 7,859.86 : x
  2. Step 2: Convert to fraction form
    32,483.86/48,725.79 = 7,859.86/x
  3. Step 3: Cross multiply
    32,483.86x = 48,725.79 × 7,859.86
  4. Step 4: Simplify right side
    32,483.86x = 382,977,857.34
  5. Step 5: Solve for x
    x = 382,977,857.34/32,483.86
  6. Step 6: Final answer
    x = 11,789.79

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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.