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Finding the Fourth Proportional to 53,071.94, 73,238.74 and 29,198.66

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Solution

The fourth proportional to 53,071.94, 73,238.74 and 29,198.66 is: 40,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,071.94 : 73,238.74 = 29,198.66 : x
  2. Step 2: Convert to fraction form
    53,071.94/73,238.74 = 29,198.66/x
  3. Step 3: Cross multiply
    53,071.94x = 73,238.74 × 29,198.66
  4. Step 4: Simplify right side
    53,071.94x = 2,138,473,068.09
  5. Step 5: Solve for x
    x = 2,138,473,068.09/53,071.94
  6. Step 6: Final answer
    x = 40,293.86

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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.