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Finding the Fourth Proportional to 37,752.70, 52,094.46 and 21,842.14

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Solution

The fourth proportional to 37,752.70, 52,094.46 and 21,842.14 is: 30,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.70 : 52,094.46 = 21,842.14 : x
  2. Step 2: Convert to fraction form
    37,752.70/52,094.46 = 21,842.14/x
  3. Step 3: Cross multiply
    37,752.70x = 52,094.46 × 21,842.14
  4. Step 4: Simplify right side
    37,752.70x = 1,137,854,488.54
  5. Step 5: Solve for x
    x = 1,137,854,488.54/37,752.70
  6. Step 6: Final answer
    x = 30,139.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.