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Finding the Fourth Proportional to 32,023.78, 48,034.40 and 9,836.02

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Solution

The fourth proportional to 32,023.78, 48,034.40 and 9,836.02 is: 14,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.78 : 48,034.40 = 9,836.02 : x
  2. Step 2: Convert to fraction form
    32,023.78/48,034.40 = 9,836.02/x
  3. Step 3: Cross multiply
    32,023.78x = 48,034.40 × 9,836.02
  4. Step 4: Simplify right side
    32,023.78x = 472,467,319.09
  5. Step 5: Solve for x
    x = 472,467,319.09/32,023.78
  6. Step 6: Final answer
    x = 14,753.64

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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.