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Finding the Fourth Proportional to 37,047.60, 55,576.80 and 12,083.40

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Solution

The fourth proportional to 37,047.60, 55,576.80 and 12,083.40 is: 18,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047.60 : 55,576.80 = 12,083.40 : x
  2. Step 2: Convert to fraction form
    37,047.60/55,576.80 = 12,083.40/x
  3. Step 3: Cross multiply
    37,047.60x = 55,576.80 × 12,083.40
  4. Step 4: Simplify right side
    37,047.60x = 671,556,705.12
  5. Step 5: Solve for x
    x = 671,556,705.12/37,047.60
  6. Step 6: Final answer
    x = 18,126.86

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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.