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Finding the Fourth Proportional to 37,780.60, 56,670.90 and 33,633.40

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Solution

The fourth proportional to 37,780.60, 56,670.90 and 33,633.40 is: 50,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780.60 : 56,670.90 = 33,633.40 : x
  2. Step 2: Convert to fraction form
    37,780.60/56,670.90 = 33,633.40/x
  3. Step 3: Cross multiply
    37,780.60x = 56,670.90 × 33,633.40
  4. Step 4: Simplify right side
    37,780.60x = 1,906,035,048.06
  5. Step 5: Solve for x
    x = 1,906,035,048.06/37,780.60
  6. Step 6: Final answer
    x = 50,450.10

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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.