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Finding the Fourth Proportional to 32,295.64, 48,446.24 and 8,922.08

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Solution

The fourth proportional to 32,295.64, 48,446.24 and 8,922.08 is: 13,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.64 : 48,446.24 = 8,922.08 : x
  2. Step 2: Convert to fraction form
    32,295.64/48,446.24 = 8,922.08/x
  3. Step 3: Cross multiply
    32,295.64x = 48,446.24 × 8,922.08
  4. Step 4: Simplify right side
    32,295.64x = 432,241,228.98
  5. Step 5: Solve for x
    x = 432,241,228.98/32,295.64
  6. Step 6: Final answer
    x = 13,383.89

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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.