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Finding the Fourth Proportional to 34,156.94, 47,118.66 and 27,790.64

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Solution

The fourth proportional to 34,156.94, 47,118.66 and 27,790.64 is: 38,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156.94 : 47,118.66 = 27,790.64 : x
  2. Step 2: Convert to fraction form
    34,156.94/47,118.66 = 27,790.64/x
  3. Step 3: Cross multiply
    34,156.94x = 47,118.66 × 27,790.64
  4. Step 4: Simplify right side
    34,156.94x = 1,309,457,717.34
  5. Step 5: Solve for x
    x = 1,309,457,717.34/34,156.94
  6. Step 6: Final answer
    x = 38,336.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.