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Finding the Fourth Proportional to 32,338.59, 48,507.90 and 8,965.02

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Solution

The fourth proportional to 32,338.59, 48,507.90 and 8,965.02 is: 13,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338.59 : 48,507.90 = 8,965.02 : x
  2. Step 2: Convert to fraction form
    32,338.59/48,507.90 = 8,965.02/x
  3. Step 3: Cross multiply
    32,338.59x = 48,507.90 × 8,965.02
  4. Step 4: Simplify right side
    32,338.59x = 434,874,293.66
  5. Step 5: Solve for x
    x = 434,874,293.66/32,338.59
  6. Step 6: Final answer
    x = 13,447.53

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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.