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Finding the Fourth Proportional to 32,508.95, 48,764.79 and 10,321.83

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Solution

The fourth proportional to 32,508.95, 48,764.79 and 10,321.83 is: 15,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.95 : 48,764.79 = 10,321.83 : x
  2. Step 2: Convert to fraction form
    32,508.95/48,764.79 = 10,321.83/x
  3. Step 3: Cross multiply
    32,508.95x = 48,764.79 × 10,321.83
  4. Step 4: Simplify right side
    32,508.95x = 503,341,872.37
  5. Step 5: Solve for x
    x = 503,341,872.37/32,508.95
  6. Step 6: Final answer
    x = 15,483.18

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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.