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Finding the Fourth Proportional to 32,962.99, 49,444.11 and 8,003.32

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Solution

The fourth proportional to 32,962.99, 49,444.11 and 8,003.32 is: 12,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.99 : 49,444.11 = 8,003.32 : x
  2. Step 2: Convert to fraction form
    32,962.99/49,444.11 = 8,003.32/x
  3. Step 3: Cross multiply
    32,962.99x = 49,444.11 × 8,003.32
  4. Step 4: Simplify right side
    32,962.99x = 395,717,034.45
  5. Step 5: Solve for x
    x = 395,717,034.45/32,962.99
  6. Step 6: Final answer
    x = 12,004.89

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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.