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Finding the Fourth Proportional to 37,454.40, 56,184.48 and 11,157.12

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Solution

The fourth proportional to 37,454.40, 56,184.48 and 11,157.12 is: 16,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,454.40 : 56,184.48 = 11,157.12 : x
  2. Step 2: Convert to fraction form
    37,454.40/56,184.48 = 11,157.12/x
  3. Step 3: Cross multiply
    37,454.40x = 56,184.48 × 11,157.12
  4. Step 4: Simplify right side
    37,454.40x = 626,856,985.50
  5. Step 5: Solve for x
    x = 626,856,985.50/37,454.40
  6. Step 6: Final answer
    x = 16,736.54

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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.