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Finding the Fourth Proportional to 21,001.88, 31,503.42 and 5,419.50

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Solution

The fourth proportional to 21,001.88, 31,503.42 and 5,419.50 is: 8,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001.88 : 31,503.42 = 5,419.50 : x
  2. Step 2: Convert to fraction form
    21,001.88/31,503.42 = 5,419.50/x
  3. Step 3: Cross multiply
    21,001.88x = 31,503.42 × 5,419.50
  4. Step 4: Simplify right side
    21,001.88x = 170,732,784.69
  5. Step 5: Solve for x
    x = 170,732,784.69/21,001.88
  6. Step 6: Final answer
    x = 8,129.41

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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.