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Finding the Fourth Proportional to 86,541, 119,439.54 and 53,026.44

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Solution

The fourth proportional to 86,541, 119,439.54 and 53,026.44 is: 73,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541 : 119,439.54 = 53,026.44 : x
  2. Step 2: Convert to fraction form
    86,541/119,439.54 = 53,026.44/x
  3. Step 3: Cross multiply
    86,541x = 119,439.54 × 53,026.44
  4. Step 4: Simplify right side
    86,541x = 6,333,453,601.44
  5. Step 5: Solve for x
    x = 6,333,453,601.44/86,541
  6. Step 6: Final answer
    x = 73,184.43

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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.