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Finding the Fourth Proportional to 32,778.30, 49,167.72 and 9,405.48

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Solution

The fourth proportional to 32,778.30, 49,167.72 and 9,405.48 is: 14,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.30 : 49,167.72 = 9,405.48 : x
  2. Step 2: Convert to fraction form
    32,778.30/49,167.72 = 9,405.48/x
  3. Step 3: Cross multiply
    32,778.30x = 49,167.72 × 9,405.48
  4. Step 4: Simplify right side
    32,778.30x = 462,446,007.11
  5. Step 5: Solve for x
    x = 462,446,007.11/32,778.30
  6. Step 6: Final answer
    x = 14,108.30

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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.