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Finding the Fourth Proportional to 30,991.26, 46,489.97 and 9,926.01

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Solution

The fourth proportional to 30,991.26, 46,489.97 and 9,926.01 is: 14,890.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.26 : 46,489.97 = 9,926.01 : x
  2. Step 2: Convert to fraction form
    30,991.26/46,489.97 = 9,926.01/x
  3. Step 3: Cross multiply
    30,991.26x = 46,489.97 × 9,926.01
  4. Step 4: Simplify right side
    30,991.26x = 461,459,857.49
  5. Step 5: Solve for x
    x = 461,459,857.49/30,991.26
  6. Step 6: Final answer
    x = 14,890.00

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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.