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Finding the Fourth Proportional to 34,534.93, 51,800.05 and 13,471.08

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Solution

The fourth proportional to 34,534.93, 51,800.05 and 13,471.08 is: 20,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.93 : 51,800.05 = 13,471.08 : x
  2. Step 2: Convert to fraction form
    34,534.93/51,800.05 = 13,471.08/x
  3. Step 3: Cross multiply
    34,534.93x = 51,800.05 × 13,471.08
  4. Step 4: Simplify right side
    34,534.93x = 697,802,617.55
  5. Step 5: Solve for x
    x = 697,802,617.55/34,534.93
  6. Step 6: Final answer
    x = 20,205.71

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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.