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Finding the Fourth Proportional to 49,970.80, 74,956.20 and 42,194.80

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Solution

The fourth proportional to 49,970.80, 74,956.20 and 42,194.80 is: 63,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970.80 : 74,956.20 = 42,194.80 : x
  2. Step 2: Convert to fraction form
    49,970.80/74,956.20 = 42,194.80/x
  3. Step 3: Cross multiply
    49,970.80x = 74,956.20 × 42,194.80
  4. Step 4: Simplify right side
    49,970.80x = 3,162,761,867.76
  5. Step 5: Solve for x
    x = 3,162,761,867.76/49,970.80
  6. Step 6: Final answer
    x = 63,292.20

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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.