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Finding the Fourth Proportional to 21,119.50, 31,678.02 and 5,537.11

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Solution

The fourth proportional to 21,119.50, 31,678.02 and 5,537.11 is: 8,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,119.50 : 31,678.02 = 5,537.11 : x
  2. Step 2: Convert to fraction form
    21,119.50/31,678.02 = 5,537.11/x
  3. Step 3: Cross multiply
    21,119.50x = 31,678.02 × 5,537.11
  4. Step 4: Simplify right side
    21,119.50x = 175,404,681.32
  5. Step 5: Solve for x
    x = 175,404,681.32/21,119.50
  6. Step 6: Final answer
    x = 8,305.34

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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.