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Finding the Fourth Proportional to 37,841.56, 56,762.34 and 11,546.44

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Solution

The fourth proportional to 37,841.56, 56,762.34 and 11,546.44 is: 17,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,841.56 : 56,762.34 = 11,546.44 : x
  2. Step 2: Convert to fraction form
    37,841.56/56,762.34 = 11,546.44/x
  3. Step 3: Cross multiply
    37,841.56x = 56,762.34 × 11,546.44
  4. Step 4: Simplify right side
    37,841.56x = 655,402,953.07
  5. Step 5: Solve for x
    x = 655,402,953.07/37,841.56
  6. Step 6: Final answer
    x = 17,319.66

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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.