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Finding the Fourth Proportional to 37,652.70, 56,460.81 and 11,352.54

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Solution

The fourth proportional to 37,652.70, 56,460.81 and 11,352.54 is: 17,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,652.70 : 56,460.81 = 11,352.54 : x
  2. Step 2: Convert to fraction form
    37,652.70/56,460.81 = 11,352.54/x
  3. Step 3: Cross multiply
    37,652.70x = 56,460.81 × 11,352.54
  4. Step 4: Simplify right side
    37,652.70x = 640,973,603.96
  5. Step 5: Solve for x
    x = 640,973,603.96/37,652.70
  6. Step 6: Final answer
    x = 17,023.31

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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.