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Finding the Fourth Proportional to 21,002.88, 31,504.92 and 5,420.50

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Solution

The fourth proportional to 21,002.88, 31,504.92 and 5,420.50 is: 8,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.88 : 31,504.92 = 5,420.50 : x
  2. Step 2: Convert to fraction form
    21,002.88/31,504.92 = 5,420.50/x
  3. Step 3: Cross multiply
    21,002.88x = 31,504.92 × 5,420.50
  4. Step 4: Simplify right side
    21,002.88x = 170,772,418.86
  5. Step 5: Solve for x
    x = 170,772,418.86/21,002.88
  6. Step 6: Final answer
    x = 8,130.90

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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.