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Finding the Fourth Proportional to 32,353.79, 48,530.96 and 10,166.68

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Solution

The fourth proportional to 32,353.79, 48,530.96 and 10,166.68 is: 15,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.79 : 48,530.96 = 10,166.68 : x
  2. Step 2: Convert to fraction form
    32,353.79/48,530.96 = 10,166.68/x
  3. Step 3: Cross multiply
    32,353.79x = 48,530.96 × 10,166.68
  4. Step 4: Simplify right side
    32,353.79x = 493,398,446.92
  5. Step 5: Solve for x
    x = 493,398,446.92/32,353.79
  6. Step 6: Final answer
    x = 15,250.10

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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.