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Finding the Fourth Proportional to 34,301.40, 51,515.46 and 20,535

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Solution

The fourth proportional to 34,301.40, 51,515.46 and 20,535 is: 30,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,301.40 : 51,515.46 = 20,535 : x
  2. Step 2: Convert to fraction form
    34,301.40/51,515.46 = 20,535/x
  3. Step 3: Cross multiply
    34,301.40x = 51,515.46 × 20,535
  4. Step 4: Simplify right side
    34,301.40x = 1,057,869,971.10
  5. Step 5: Solve for x
    x = 1,057,869,971.10/34,301.40
  6. Step 6: Final answer
    x = 30,840.43

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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.