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Finding the Fourth Proportional to 34,152.59, 51,224.61 and 9,191.63

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Solution

The fourth proportional to 34,152.59, 51,224.61 and 9,191.63 is: 13,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.59 : 51,224.61 = 9,191.63 : x
  2. Step 2: Convert to fraction form
    34,152.59/51,224.61 = 9,191.63/x
  3. Step 3: Cross multiply
    34,152.59x = 51,224.61 × 9,191.63
  4. Step 4: Simplify right side
    34,152.59x = 470,837,662.01
  5. Step 5: Solve for x
    x = 470,837,662.01/34,152.59
  6. Step 6: Final answer
    x = 13,786.29

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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.