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Finding the Fourth Proportional to 53,102.44, 73,312.86 and 47,198.08

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Solution

The fourth proportional to 53,102.44, 73,312.86 and 47,198.08 is: 65,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102.44 : 73,312.86 = 47,198.08 : x
  2. Step 2: Convert to fraction form
    53,102.44/73,312.86 = 47,198.08/x
  3. Step 3: Cross multiply
    53,102.44x = 73,312.86 × 47,198.08
  4. Step 4: Simplify right side
    53,102.44x = 3,460,226,231.31
  5. Step 5: Solve for x
    x = 3,460,226,231.31/53,102.44
  6. Step 6: Final answer
    x = 65,161.34

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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.