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Finding the Fourth Proportional to 32,599.78, 48,905.94 and 13,879.46

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Solution

The fourth proportional to 32,599.78, 48,905.94 and 13,879.46 is: 20,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,599.78 : 48,905.94 = 13,879.46 : x
  2. Step 2: Convert to fraction form
    32,599.78/48,905.94 = 13,879.46/x
  3. Step 3: Cross multiply
    32,599.78x = 48,905.94 × 13,879.46
  4. Step 4: Simplify right side
    32,599.78x = 678,788,037.99
  5. Step 5: Solve for x
    x = 678,788,037.99/32,599.78
  6. Step 6: Final answer
    x = 20,821.86

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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.