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Finding the Fourth Proportional to 32,962.26, 49,442.94 and 8,002.50

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Solution

The fourth proportional to 32,962.26, 49,442.94 and 8,002.50 is: 12,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.26 : 49,442.94 = 8,002.50 : x
  2. Step 2: Convert to fraction form
    32,962.26/49,442.94 = 8,002.50/x
  3. Step 3: Cross multiply
    32,962.26x = 49,442.94 × 8,002.50
  4. Step 4: Simplify right side
    32,962.26x = 395,667,127.35
  5. Step 5: Solve for x
    x = 395,667,127.35/32,962.26
  6. Step 6: Final answer
    x = 12,003.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.