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Finding the Fourth Proportional to 37,046.63, 55,542.00 and 12,071.77

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Solution

The fourth proportional to 37,046.63, 55,542.00 and 12,071.77 is: 18,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046.63 : 55,542.00 = 12,071.77 : x
  2. Step 2: Convert to fraction form
    37,046.63/55,542.00 = 12,071.77/x
  3. Step 3: Cross multiply
    37,046.63x = 55,542.00 × 12,071.77
  4. Step 4: Simplify right side
    37,046.63x = 670,490,155.75
  5. Step 5: Solve for x
    x = 670,490,155.75/37,046.63
  6. Step 6: Final answer
    x = 18,098.55

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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.