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Finding the Fourth Proportional to 30,789.68, 46,190.78 and 9,733.01

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Solution

The fourth proportional to 30,789.68, 46,190.78 and 9,733.01 is: 14,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.68 : 46,190.78 = 9,733.01 : x
  2. Step 2: Convert to fraction form
    30,789.68/46,190.78 = 9,733.01/x
  3. Step 3: Cross multiply
    30,789.68x = 46,190.78 × 9,733.01
  4. Step 4: Simplify right side
    30,789.68x = 449,575,274.98
  5. Step 5: Solve for x
    x = 449,575,274.98/30,789.68
  6. Step 6: Final answer
    x = 14,601.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.