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Finding the Fourth Proportional to 49,848.92, 74,772.84 and 28,820.60

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Solution

The fourth proportional to 49,848.92, 74,772.84 and 28,820.60 is: 43,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,848.92 : 74,772.84 = 28,820.60 : x
  2. Step 2: Convert to fraction form
    49,848.92/74,772.84 = 28,820.60/x
  3. Step 3: Cross multiply
    49,848.92x = 74,772.84 × 28,820.60
  4. Step 4: Simplify right side
    49,848.92x = 2,154,998,112.50
  5. Step 5: Solve for x
    x = 2,154,998,112.50/49,848.92
  6. Step 6: Final answer
    x = 43,230.59

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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.