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Finding the Fourth Proportional to 32,962.66, 49,443.60 and 8,002.96

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Solution

The fourth proportional to 32,962.66, 49,443.60 and 8,002.96 is: 12,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.66 : 49,443.60 = 8,002.96 : x
  2. Step 2: Convert to fraction form
    32,962.66/49,443.60 = 8,002.96/x
  3. Step 3: Cross multiply
    32,962.66x = 49,443.60 × 8,002.96
  4. Step 4: Simplify right side
    32,962.66x = 395,695,153.06
  5. Step 5: Solve for x
    x = 395,695,153.06/32,962.66
  6. Step 6: Final answer
    x = 12,004.35

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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.