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Finding the Fourth Proportional to 50,248, 69,342.24 and 27,892.16

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Solution

The fourth proportional to 50,248, 69,342.24 and 27,892.16 is: 38,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,248 : 69,342.24 = 27,892.16 : x
  2. Step 2: Convert to fraction form
    50,248/69,342.24 = 27,892.16/x
  3. Step 3: Cross multiply
    50,248x = 69,342.24 × 27,892.16
  4. Step 4: Simplify right side
    50,248x = 1,934,104,852.84
  5. Step 5: Solve for x
    x = 1,934,104,852.84/50,248
  6. Step 6: Final answer
    x = 38,491.18

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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.