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Finding the Fourth Proportional to 34,143.96, 51,220.26 and 13,364.76

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Solution

The fourth proportional to 34,143.96, 51,220.26 and 13,364.76 is: 20,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143.96 : 51,220.26 = 13,364.76 : x
  2. Step 2: Convert to fraction form
    34,143.96/51,220.26 = 13,364.76/x
  3. Step 3: Cross multiply
    34,143.96x = 51,220.26 × 13,364.76
  4. Step 4: Simplify right side
    34,143.96x = 684,546,482.04
  5. Step 5: Solve for x
    x = 684,546,482.04/34,143.96
  6. Step 6: Final answer
    x = 20,048.83

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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.