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Finding the Fourth Proportional to 32,203.56, 48,305.66 and 8,829.98

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Solution

The fourth proportional to 32,203.56, 48,305.66 and 8,829.98 is: 13,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.56 : 48,305.66 = 8,829.98 : x
  2. Step 2: Convert to fraction form
    32,203.56/48,305.66 = 8,829.98/x
  3. Step 3: Cross multiply
    32,203.56x = 48,305.66 × 8,829.98
  4. Step 4: Simplify right side
    32,203.56x = 426,538,011.69
  5. Step 5: Solve for x
    x = 426,538,011.69/32,203.56
  6. Step 6: Final answer
    x = 13,245.06

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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.