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Finding the Fourth Proportional to 32,338.59, 48,506.54 and 8,964.42

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Solution

The fourth proportional to 32,338.59, 48,506.54 and 8,964.42 is: 13,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338.59 : 48,506.54 = 8,964.42 : x
  2. Step 2: Convert to fraction form
    32,338.59/48,506.54 = 8,964.42/x
  3. Step 3: Cross multiply
    32,338.59x = 48,506.54 × 8,964.42
  4. Step 4: Simplify right side
    32,338.59x = 434,832,952.48
  5. Step 5: Solve for x
    x = 434,832,952.48/32,338.59
  6. Step 6: Final answer
    x = 13,446.26

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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.