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Finding the Fourth Proportional to 50,808.66, 70,114.65 and 27,838.32

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Solution

The fourth proportional to 50,808.66, 70,114.65 and 27,838.32 is: 38,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,808.66 : 70,114.65 = 27,838.32 : x
  2. Step 2: Convert to fraction form
    50,808.66/70,114.65 = 27,838.32/x
  3. Step 3: Cross multiply
    50,808.66x = 70,114.65 × 27,838.32
  4. Step 4: Simplify right side
    50,808.66x = 1,951,874,063.39
  5. Step 5: Solve for x
    x = 1,951,874,063.39/50,808.66
  6. Step 6: Final answer
    x = 38,416.17

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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.