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Finding the Fourth Proportional to 21,075.88, 31,615.64 and 5,493.50

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Solution

The fourth proportional to 21,075.88, 31,615.64 and 5,493.50 is: 8,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.88 : 31,615.64 = 5,493.50 : x
  2. Step 2: Convert to fraction form
    21,075.88/31,615.64 = 5,493.50/x
  3. Step 3: Cross multiply
    21,075.88x = 31,615.64 × 5,493.50
  4. Step 4: Simplify right side
    21,075.88x = 173,680,490.87
  5. Step 5: Solve for x
    x = 173,680,490.87/21,075.88
  6. Step 6: Final answer
    x = 8,240.73

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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.