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Finding the Fourth Proportional to 51,908.94, 71,634.35 and 28,035.61

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Solution

The fourth proportional to 51,908.94, 71,634.35 and 28,035.61 is: 38,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908.94 : 71,634.35 = 28,035.61 : x
  2. Step 2: Convert to fraction form
    51,908.94/71,634.35 = 28,035.61/x
  3. Step 3: Cross multiply
    51,908.94x = 71,634.35 × 28,035.61
  4. Step 4: Simplify right side
    51,908.94x = 2,008,312,590.21
  5. Step 5: Solve for x
    x = 2,008,312,590.21/51,908.94
  6. Step 6: Final answer
    x = 38,689.15

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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.