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Finding the Fourth Proportional to 37,212.85, 51,342.15 and 22,857.63

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Solution

The fourth proportional to 37,212.85, 51,342.15 and 22,857.63 is: 31,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,212.85 : 51,342.15 = 22,857.63 : x
  2. Step 2: Convert to fraction form
    37,212.85/51,342.15 = 22,857.63/x
  3. Step 3: Cross multiply
    37,212.85x = 51,342.15 × 22,857.63
  4. Step 4: Simplify right side
    37,212.85x = 1,173,559,868.10
  5. Step 5: Solve for x
    x = 1,173,559,868.10/37,212.85
  6. Step 6: Final answer
    x = 31,536.41

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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.