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Finding the Fourth Proportional to 32,920.92, 49,389.16 and 10,734.40

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Solution

The fourth proportional to 32,920.92, 49,389.16 and 10,734.40 is: 16,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.92 : 49,389.16 = 10,734.40 : x
  2. Step 2: Convert to fraction form
    32,920.92/49,389.16 = 10,734.40/x
  3. Step 3: Cross multiply
    32,920.92x = 49,389.16 × 10,734.40
  4. Step 4: Simplify right side
    32,920.92x = 530,162,999.10
  5. Step 5: Solve for x
    x = 530,162,999.10/32,920.92
  6. Step 6: Final answer
    x = 16,104.14

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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.