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Finding the Fourth Proportional to 32,928.52, 49,403.88 and 10,442.88

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Solution

The fourth proportional to 32,928.52, 49,403.88 and 10,442.88 is: 15,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928.52 : 49,403.88 = 10,442.88 : x
  2. Step 2: Convert to fraction form
    32,928.52/49,403.88 = 10,442.88/x
  3. Step 3: Cross multiply
    32,928.52x = 49,403.88 × 10,442.88
  4. Step 4: Simplify right side
    32,928.52x = 515,918,790.37
  5. Step 5: Solve for x
    x = 515,918,790.37/32,928.52
  6. Step 6: Final answer
    x = 15,667.84

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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.