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Finding the Fourth Proportional to 37,665.60, 51,980.16 and 22,555.40

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Solution

The fourth proportional to 37,665.60, 51,980.16 and 22,555.40 is: 31,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665.60 : 51,980.16 = 22,555.40 : x
  2. Step 2: Convert to fraction form
    37,665.60/51,980.16 = 22,555.40/x
  3. Step 3: Cross multiply
    37,665.60x = 51,980.16 × 22,555.40
  4. Step 4: Simplify right side
    37,665.60x = 1,172,433,040.96
  5. Step 5: Solve for x
    x = 1,172,433,040.96/37,665.60
  6. Step 6: Final answer
    x = 31,127.42

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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.