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Finding the Fourth Proportional to 22,119, 33,178.50 and 5,703

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Solution

The fourth proportional to 22,119, 33,178.50 and 5,703 is: 8,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,119 : 33,178.50 = 5,703 : x
  2. Step 2: Convert to fraction form
    22,119/33,178.50 = 5,703/x
  3. Step 3: Cross multiply
    22,119x = 33,178.50 × 5,703
  4. Step 4: Simplify right side
    22,119x = 189,216,985.50
  5. Step 5: Solve for x
    x = 189,216,985.50/22,119
  6. Step 6: Final answer
    x = 8,554.50

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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.