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Finding the Fourth Proportional to 86,544, 119,443.68 and 53,029.44

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Solution

The fourth proportional to 86,544, 119,443.68 and 53,029.44 is: 73,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,544 : 119,443.68 = 53,029.44 : x
  2. Step 2: Convert to fraction form
    86,544/119,443.68 = 53,029.44/x
  3. Step 3: Cross multiply
    86,544x = 119,443.68 × 53,029.44
  4. Step 4: Simplify right side
    86,544x = 6,334,031,461.94
  5. Step 5: Solve for x
    x = 6,334,031,461.94/86,544
  6. Step 6: Final answer
    x = 73,188.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.