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Finding the Fourth Proportional to 30,564.84, 45,837.66 and 11,843.58

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Solution

The fourth proportional to 30,564.84, 45,837.66 and 11,843.58 is: 17,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.84 : 45,837.66 = 11,843.58 : x
  2. Step 2: Convert to fraction form
    30,564.84/45,837.66 = 11,843.58/x
  3. Step 3: Cross multiply
    30,564.84x = 45,837.66 × 11,843.58
  4. Step 4: Simplify right side
    30,564.84x = 542,881,993.22
  5. Step 5: Solve for x
    x = 542,881,993.22/30,564.84
  6. Step 6: Final answer
    x = 17,761.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.