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Finding the Fourth Proportional to 30,899.88, 46,351.44 and 9,841.70

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Solution

The fourth proportional to 30,899.88, 46,351.44 and 9,841.70 is: 14,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.88 : 46,351.44 = 9,841.70 : x
  2. Step 2: Convert to fraction form
    30,899.88/46,351.44 = 9,841.70/x
  3. Step 3: Cross multiply
    30,899.88x = 46,351.44 × 9,841.70
  4. Step 4: Simplify right side
    30,899.88x = 456,177,082.93
  5. Step 5: Solve for x
    x = 456,177,082.93/30,899.88
  6. Step 6: Final answer
    x = 14,763.07

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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.