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Finding the Fourth Proportional to 31,578.98, 47,367.54 and 9,392.42

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Solution

The fourth proportional to 31,578.98, 47,367.54 and 9,392.42 is: 14,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.98 : 47,367.54 = 9,392.42 : x
  2. Step 2: Convert to fraction form
    31,578.98/47,367.54 = 9,392.42/x
  3. Step 3: Cross multiply
    31,578.98x = 47,367.54 × 9,392.42
  4. Step 4: Simplify right side
    31,578.98x = 444,895,830.05
  5. Step 5: Solve for x
    x = 444,895,830.05/31,578.98
  6. Step 6: Final answer
    x = 14,088.35

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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.