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Finding the Fourth Proportional to 37,782.36, 52,133.94 and 22,671.72

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Solution

The fourth proportional to 37,782.36, 52,133.94 and 22,671.72 is: 31,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.36 : 52,133.94 = 22,671.72 : x
  2. Step 2: Convert to fraction form
    37,782.36/52,133.94 = 22,671.72/x
  3. Step 3: Cross multiply
    37,782.36x = 52,133.94 × 22,671.72
  4. Step 4: Simplify right side
    37,782.36x = 1,181,966,090.18
  5. Step 5: Solve for x
    x = 1,181,966,090.18/37,782.36
  6. Step 6: Final answer
    x = 31,283.54

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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.