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Finding the Fourth Proportional to 32,533.78, 48,819.12 and 15,003.61

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Solution

The fourth proportional to 32,533.78, 48,819.12 and 15,003.61 is: 22,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.78 : 48,819.12 = 15,003.61 : x
  2. Step 2: Convert to fraction form
    32,533.78/48,819.12 = 15,003.61/x
  3. Step 3: Cross multiply
    32,533.78x = 48,819.12 × 15,003.61
  4. Step 4: Simplify right side
    32,533.78x = 732,463,037.02
  5. Step 5: Solve for x
    x = 732,463,037.02/32,533.78
  6. Step 6: Final answer
    x = 22,513.92

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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.