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Finding the Fourth Proportional to 37,762.84, 56,654.44 and 33,631.23

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Solution

The fourth proportional to 37,762.84, 56,654.44 and 33,631.23 is: 50,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.84 : 56,654.44 = 33,631.23 : x
  2. Step 2: Convert to fraction form
    37,762.84/56,654.44 = 33,631.23/x
  3. Step 3: Cross multiply
    37,762.84x = 56,654.44 × 33,631.23
  4. Step 4: Simplify right side
    37,762.84x = 1,905,358,630.54
  5. Step 5: Solve for x
    x = 1,905,358,630.54/37,762.84
  6. Step 6: Final answer
    x = 50,455.91

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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.