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Finding the Fourth Proportional to 37,085.41, 55,627.60 and 9,005.68

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Solution

The fourth proportional to 37,085.41, 55,627.60 and 9,005.68 is: 13,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,085.41 : 55,627.60 = 9,005.68 : x
  2. Step 2: Convert to fraction form
    37,085.41/55,627.60 = 9,005.68/x
  3. Step 3: Cross multiply
    37,085.41x = 55,627.60 × 9,005.68
  4. Step 4: Simplify right side
    37,085.41x = 500,964,364.77
  5. Step 5: Solve for x
    x = 500,964,364.77/37,085.41
  6. Step 6: Final answer
    x = 13,508.39

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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.