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Finding the Fourth Proportional to 73,582.80, 110,374.20 and 38,533.20

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Solution

The fourth proportional to 73,582.80, 110,374.20 and 38,533.20 is: 57,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,582.80 : 110,374.20 = 38,533.20 : x
  2. Step 2: Convert to fraction form
    73,582.80/110,374.20 = 38,533.20/x
  3. Step 3: Cross multiply
    73,582.80x = 110,374.20 × 38,533.20
  4. Step 4: Simplify right side
    73,582.80x = 4,253,071,123.44
  5. Step 5: Solve for x
    x = 4,253,071,123.44/73,582.80
  6. Step 6: Final answer
    x = 57,799.80

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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.