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Finding the Fourth Proportional to 37,735.13, 56,602.69 and 10,033.13

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Solution

The fourth proportional to 37,735.13, 56,602.69 and 10,033.13 is: 15,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735.13 : 56,602.69 = 10,033.13 : x
  2. Step 2: Convert to fraction form
    37,735.13/56,602.69 = 10,033.13/x
  3. Step 3: Cross multiply
    37,735.13x = 56,602.69 × 10,033.13
  4. Step 4: Simplify right side
    37,735.13x = 567,902,147.12
  5. Step 5: Solve for x
    x = 567,902,147.12/37,735.13
  6. Step 6: Final answer
    x = 15,049.69

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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.