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Finding the Fourth Proportional to 58,400, 80,592.36 and 31,904

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Solution

The fourth proportional to 58,400, 80,592.36 and 31,904 is: 44,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,400 : 80,592.36 = 31,904 : x
  2. Step 2: Convert to fraction form
    58,400/80,592.36 = 31,904/x
  3. Step 3: Cross multiply
    58,400x = 80,592.36 × 31,904
  4. Step 4: Simplify right side
    58,400x = 2,571,218,653.44
  5. Step 5: Solve for x
    x = 2,571,218,653.44/58,400
  6. Step 6: Final answer
    x = 44,027.72

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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.