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Finding the Fourth Proportional to 37,071.94, 51,171.74 and 22,536.06

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Solution

The fourth proportional to 37,071.94, 51,171.74 and 22,536.06 is: 31,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071.94 : 51,171.74 = 22,536.06 : x
  2. Step 2: Convert to fraction form
    37,071.94/51,171.74 = 22,536.06/x
  3. Step 3: Cross multiply
    37,071.94x = 51,171.74 × 22,536.06
  4. Step 4: Simplify right side
    37,071.94x = 1,153,209,402.94
  5. Step 5: Solve for x
    x = 1,153,209,402.94/37,071.94
  6. Step 6: Final answer
    x = 31,107.34

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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.