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Finding the Fourth Proportional to 21,121.50, 31,681.02 and 5,539.12

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Solution

The fourth proportional to 21,121.50, 31,681.02 and 5,539.12 is: 8,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121.50 : 31,681.02 = 5,539.12 : x
  2. Step 2: Convert to fraction form
    21,121.50/31,681.02 = 5,539.12/x
  3. Step 3: Cross multiply
    21,121.50x = 31,681.02 × 5,539.12
  4. Step 4: Simplify right side
    21,121.50x = 175,484,971.50
  5. Step 5: Solve for x
    x = 175,484,971.50/21,121.50
  6. Step 6: Final answer
    x = 8,308.36

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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.