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Finding the Fourth Proportional to 27,134.35, 40,708.50 and 10,490.05

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Solution

The fourth proportional to 27,134.35, 40,708.50 and 10,490.05 is: 15,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.35 : 40,708.50 = 10,490.05 : x
  2. Step 2: Convert to fraction form
    27,134.35/40,708.50 = 10,490.05/x
  3. Step 3: Cross multiply
    27,134.35x = 40,708.50 × 10,490.05
  4. Step 4: Simplify right side
    27,134.35x = 427,034,200.43
  5. Step 5: Solve for x
    x = 427,034,200.43/27,134.35
  6. Step 6: Final answer
    x = 15,737.77

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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.