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Finding the Fourth Proportional to 73,564.69, 110,343.93 and 20,974.09

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Solution

The fourth proportional to 73,564.69, 110,343.93 and 20,974.09 is: 31,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.69 : 110,343.93 = 20,974.09 : x
  2. Step 2: Convert to fraction form
    73,564.69/110,343.93 = 20,974.09/x
  3. Step 3: Cross multiply
    73,564.69x = 110,343.93 × 20,974.09
  4. Step 4: Simplify right side
    73,564.69x = 2,314,363,518.77
  5. Step 5: Solve for x
    x = 2,314,363,518.77/73,564.69
  6. Step 6: Final answer
    x = 31,460.25

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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.