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Finding the Fourth Proportional to 37,649.83, 56,477.45 and 11,354.80

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Solution

The fourth proportional to 37,649.83, 56,477.45 and 11,354.80 is: 17,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.83 : 56,477.45 = 11,354.80 : x
  2. Step 2: Convert to fraction form
    37,649.83/56,477.45 = 11,354.80/x
  3. Step 3: Cross multiply
    37,649.83x = 56,477.45 × 11,354.80
  4. Step 4: Simplify right side
    37,649.83x = 641,290,149.26
  5. Step 5: Solve for x
    x = 641,290,149.26/37,649.83
  6. Step 6: Final answer
    x = 17,033.02

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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.