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Finding the Fourth Proportional to 32,339.44, 48,508.80 and 8,965

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Solution

The fourth proportional to 32,339.44, 48,508.80 and 8,965 is: 13,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,339.44 : 48,508.80 = 8,965 : x
  2. Step 2: Convert to fraction form
    32,339.44/48,508.80 = 8,965/x
  3. Step 3: Cross multiply
    32,339.44x = 48,508.80 × 8,965
  4. Step 4: Simplify right side
    32,339.44x = 434,881,392
  5. Step 5: Solve for x
    x = 434,881,392/32,339.44
  6. Step 6: Final answer
    x = 13,447.40

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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.