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Finding the Fourth Proportional to 32,050.70, 48,077.76 and 9,879.30

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Solution

The fourth proportional to 32,050.70, 48,077.76 and 9,879.30 is: 14,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.70 : 48,077.76 = 9,879.30 : x
  2. Step 2: Convert to fraction form
    32,050.70/48,077.76 = 9,879.30/x
  3. Step 3: Cross multiply
    32,050.70x = 48,077.76 × 9,879.30
  4. Step 4: Simplify right side
    32,050.70x = 474,974,614.37
  5. Step 5: Solve for x
    x = 474,974,614.37/32,050.70
  6. Step 6: Final answer
    x = 14,819.48

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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.