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Finding the Fourth Proportional to 35,119.50, 48,464.91 and 20,215.50

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Solution

The fourth proportional to 35,119.50, 48,464.91 and 20,215.50 is: 27,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,119.50 : 48,464.91 = 20,215.50 : x
  2. Step 2: Convert to fraction form
    35,119.50/48,464.91 = 20,215.50/x
  3. Step 3: Cross multiply
    35,119.50x = 48,464.91 × 20,215.50
  4. Step 4: Simplify right side
    35,119.50x = 979,742,388.11
  5. Step 5: Solve for x
    x = 979,742,388.11/35,119.50
  6. Step 6: Final answer
    x = 27,897.39

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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.