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Finding the Fourth Proportional to 52,107.46, 71,908.35 and 28,234.11

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Solution

The fourth proportional to 52,107.46, 71,908.35 and 28,234.11 is: 38,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.46 : 71,908.35 = 28,234.11 : x
  2. Step 2: Convert to fraction form
    52,107.46/71,908.35 = 28,234.11/x
  3. Step 3: Cross multiply
    52,107.46x = 71,908.35 × 28,234.11
  4. Step 4: Simplify right side
    52,107.46x = 2,030,268,263.82
  5. Step 5: Solve for x
    x = 2,030,268,263.82/52,107.46
  6. Step 6: Final answer
    x = 38,963.10

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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.