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Finding the Fourth Proportional to 34,846.74, 48,089.16 and 20,509.74

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Solution

The fourth proportional to 34,846.74, 48,089.16 and 20,509.74 is: 28,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.74 : 48,089.16 = 20,509.74 : x
  2. Step 2: Convert to fraction form
    34,846.74/48,089.16 = 20,509.74/x
  3. Step 3: Cross multiply
    34,846.74x = 48,089.16 × 20,509.74
  4. Step 4: Simplify right side
    34,846.74x = 986,296,168.42
  5. Step 5: Solve for x
    x = 986,296,168.42/34,846.74
  6. Step 6: Final answer
    x = 28,303.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.