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Finding the Fourth Proportional to 37,830.60, 56,745.90 and 33,683.40

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Solution

The fourth proportional to 37,830.60, 56,745.90 and 33,683.40 is: 50,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.60 : 56,745.90 = 33,683.40 : x
  2. Step 2: Convert to fraction form
    37,830.60/56,745.90 = 33,683.40/x
  3. Step 3: Cross multiply
    37,830.60x = 56,745.90 × 33,683.40
  4. Step 4: Simplify right side
    37,830.60x = 1,911,394,848.06
  5. Step 5: Solve for x
    x = 1,911,394,848.06/37,830.60
  6. Step 6: Final answer
    x = 50,525.10

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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.