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Finding the Fourth Proportional to 48,592.80, 72,864 and 22,274.88

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Solution

The fourth proportional to 48,592.80, 72,864 and 22,274.88 is: 33,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,592.80 : 72,864 = 22,274.88 : x
  2. Step 2: Convert to fraction form
    48,592.80/72,864 = 22,274.88/x
  3. Step 3: Cross multiply
    48,592.80x = 72,864 × 22,274.88
  4. Step 4: Simplify right side
    48,592.80x = 1,623,036,856.32
  5. Step 5: Solve for x
    x = 1,623,036,856.32/48,592.80
  6. Step 6: Final answer
    x = 33,400.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.