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Finding the Fourth Proportional to 32,516.78, 48,769.63 and 9,137.75

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Solution

The fourth proportional to 32,516.78, 48,769.63 and 9,137.75 is: 13,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.78 : 48,769.63 = 9,137.75 : x
  2. Step 2: Convert to fraction form
    32,516.78/48,769.63 = 9,137.75/x
  3. Step 3: Cross multiply
    32,516.78x = 48,769.63 × 9,137.75
  4. Step 4: Simplify right side
    32,516.78x = 445,644,686.53
  5. Step 5: Solve for x
    x = 445,644,686.53/32,516.78
  6. Step 6: Final answer
    x = 13,705.07

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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.