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Finding the Fourth Proportional to 50,204.32, 69,282 and 27,848.48

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Solution

The fourth proportional to 50,204.32, 69,282 and 27,848.48 is: 38,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204.32 : 69,282 = 27,848.48 : x
  2. Step 2: Convert to fraction form
    50,204.32/69,282 = 27,848.48/x
  3. Step 3: Cross multiply
    50,204.32x = 69,282 × 27,848.48
  4. Step 4: Simplify right side
    50,204.32x = 1,929,398,391.36
  5. Step 5: Solve for x
    x = 1,929,398,391.36/50,204.32
  6. Step 6: Final answer
    x = 38,430.92

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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.