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Finding the Fourth Proportional to 32,934, 49,409.04 and 10,748.40

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Solution

The fourth proportional to 32,934, 49,409.04 and 10,748.40 is: 16,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,934 : 49,409.04 = 10,748.40 : x
  2. Step 2: Convert to fraction form
    32,934/49,409.04 = 10,748.40/x
  3. Step 3: Cross multiply
    32,934x = 49,409.04 × 10,748.40
  4. Step 4: Simplify right side
    32,934x = 531,068,125.54
  5. Step 5: Solve for x
    x = 531,068,125.54/32,934
  6. Step 6: Final answer
    x = 16,125.22

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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.