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Finding the Fourth Proportional to 37,230.35, 51,378 and 21,314.93

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Solution

The fourth proportional to 37,230.35, 51,378 and 21,314.93 is: 29,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,230.35 : 51,378 = 21,314.93 : x
  2. Step 2: Convert to fraction form
    37,230.35/51,378 = 21,314.93/x
  3. Step 3: Cross multiply
    37,230.35x = 51,378 × 21,314.93
  4. Step 4: Simplify right side
    37,230.35x = 1,095,118,216.65
  5. Step 5: Solve for x
    x = 1,095,118,216.65/37,230.35
  6. Step 6: Final answer
    x = 29,414.67

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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.