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Finding the Fourth Proportional to 37,164.24, 55,746.72 and 9,462.24

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Solution

The fourth proportional to 37,164.24, 55,746.72 and 9,462.24 is: 14,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164.24 : 55,746.72 = 9,462.24 : x
  2. Step 2: Convert to fraction form
    37,164.24/55,746.72 = 9,462.24/x
  3. Step 3: Cross multiply
    37,164.24x = 55,746.72 × 9,462.24
  4. Step 4: Simplify right side
    37,164.24x = 527,488,843.85
  5. Step 5: Solve for x
    x = 527,488,843.85/37,164.24
  6. Step 6: Final answer
    x = 14,193.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.