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Finding the Fourth Proportional to 50,112, 69,154.70 and 27,756

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Solution

The fourth proportional to 50,112, 69,154.70 and 27,756 is: 38,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 69,154.70 = 27,756 : x
  2. Step 2: Convert to fraction form
    50,112/69,154.70 = 27,756/x
  3. Step 3: Cross multiply
    50,112x = 69,154.70 × 27,756
  4. Step 4: Simplify right side
    50,112x = 1,919,457,714.42
  5. Step 5: Solve for x
    x = 1,919,457,714.42/50,112
  6. Step 6: Final answer
    x = 38,303.35

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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.