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Finding the Fourth Proportional to 34,543.96, 51,810.42 and 12,353.20

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Solution

The fourth proportional to 34,543.96, 51,810.42 and 12,353.20 is: 18,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,543.96 : 51,810.42 = 12,353.20 : x
  2. Step 2: Convert to fraction form
    34,543.96/51,810.42 = 12,353.20/x
  3. Step 3: Cross multiply
    34,543.96x = 51,810.42 × 12,353.20
  4. Step 4: Simplify right side
    34,543.96x = 640,024,480.34
  5. Step 5: Solve for x
    x = 640,024,480.34/34,543.96
  6. Step 6: Final answer
    x = 18,527.83

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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.