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Finding the Fourth Proportional to 70,894.17, 106,351.83 and 25,298.32

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Solution

The fourth proportional to 70,894.17, 106,351.83 and 25,298.32 is: 37,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.17 : 106,351.83 = 25,298.32 : x
  2. Step 2: Convert to fraction form
    70,894.17/106,351.83 = 25,298.32/x
  3. Step 3: Cross multiply
    70,894.17x = 106,351.83 × 25,298.32
  4. Step 4: Simplify right side
    70,894.17x = 2,690,522,501.43
  5. Step 5: Solve for x
    x = 2,690,522,501.43/70,894.17
  6. Step 6: Final answer
    x = 37,951.25

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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.