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Finding the Fourth Proportional to 37,841.66, 56,762.33 and 11,546.31

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Solution

The fourth proportional to 37,841.66, 56,762.33 and 11,546.31 is: 17,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,841.66 : 56,762.33 = 11,546.31 : x
  2. Step 2: Convert to fraction form
    37,841.66/56,762.33 = 11,546.31/x
  3. Step 3: Cross multiply
    37,841.66x = 56,762.33 × 11,546.31
  4. Step 4: Simplify right side
    37,841.66x = 655,395,400.77
  5. Step 5: Solve for x
    x = 655,395,400.77/37,841.66
  6. Step 6: Final answer
    x = 17,319.42

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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.