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Finding the Fourth Proportional to 30,194.88, 45,296.64 and 9,420

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Solution

The fourth proportional to 30,194.88, 45,296.64 and 9,420 is: 14,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.88 : 45,296.64 = 9,420 : x
  2. Step 2: Convert to fraction form
    30,194.88/45,296.64 = 9,420/x
  3. Step 3: Cross multiply
    30,194.88x = 45,296.64 × 9,420
  4. Step 4: Simplify right side
    30,194.88x = 426,694,348.80
  5. Step 5: Solve for x
    x = 426,694,348.80/30,194.88
  6. Step 6: Final answer
    x = 14,131.35

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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.