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Finding the Fourth Proportional to 32,962.50, 49,443.63 and 8,002.53

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Solution

The fourth proportional to 32,962.50, 49,443.63 and 8,002.53 is: 12,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.50 : 49,443.63 = 8,002.53 : x
  2. Step 2: Convert to fraction form
    32,962.50/49,443.63 = 8,002.53/x
  3. Step 3: Cross multiply
    32,962.50x = 49,443.63 × 8,002.53
  4. Step 4: Simplify right side
    32,962.50x = 395,674,132.38
  5. Step 5: Solve for x
    x = 395,674,132.38/32,962.50
  6. Step 6: Final answer
    x = 12,003.77

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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.