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Finding the Fourth Proportional to 55,094.66, 82,609.14 and 21,819.50

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Solution

The fourth proportional to 55,094.66, 82,609.14 and 21,819.50 is: 32,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,094.66 : 82,609.14 = 21,819.50 : x
  2. Step 2: Convert to fraction form
    55,094.66/82,609.14 = 21,819.50/x
  3. Step 3: Cross multiply
    55,094.66x = 82,609.14 × 21,819.50
  4. Step 4: Simplify right side
    55,094.66x = 1,802,490,130.23
  5. Step 5: Solve for x
    x = 1,802,490,130.23/55,094.66
  6. Step 6: Final answer
    x = 32,716.24

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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.