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Finding the Fourth Proportional to 37,004.16, 51,048 and 22,851.84

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Solution

The fourth proportional to 37,004.16, 51,048 and 22,851.84 is: 31,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,004.16 : 51,048 = 22,851.84 : x
  2. Step 2: Convert to fraction form
    37,004.16/51,048 = 22,851.84/x
  3. Step 3: Cross multiply
    37,004.16x = 51,048 × 22,851.84
  4. Step 4: Simplify right side
    37,004.16x = 1,166,540,728.32
  5. Step 5: Solve for x
    x = 1,166,540,728.32/37,004.16
  6. Step 6: Final answer
    x = 31,524.58

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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.