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Finding the Fourth Proportional to 55,009, 75,932.12 and 32,653

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Solution

The fourth proportional to 55,009, 75,932.12 and 32,653 is: 45,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009 : 75,932.12 = 32,653 : x
  2. Step 2: Convert to fraction form
    55,009/75,932.12 = 32,653/x
  3. Step 3: Cross multiply
    55,009x = 75,932.12 × 32,653
  4. Step 4: Simplify right side
    55,009x = 2,479,411,514.36
  5. Step 5: Solve for x
    x = 2,479,411,514.36/55,009
  6. Step 6: Final answer
    x = 45,072.83

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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.