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Finding the Fourth Proportional to 32,295.38, 48,443.27 and 8,922.02

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Solution

The fourth proportional to 32,295.38, 48,443.27 and 8,922.02 is: 13,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.38 : 48,443.27 = 8,922.02 : x
  2. Step 2: Convert to fraction form
    32,295.38/48,443.27 = 8,922.02/x
  3. Step 3: Cross multiply
    32,295.38x = 48,443.27 × 8,922.02
  4. Step 4: Simplify right side
    32,295.38x = 432,211,536.98
  5. Step 5: Solve for x
    x = 432,211,536.98/32,295.38
  6. Step 6: Final answer
    x = 13,383.08

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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.