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Finding the Fourth Proportional to 34,089.42, 51,134.16 and 16,315.91

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Solution

The fourth proportional to 34,089.42, 51,134.16 and 16,315.91 is: 24,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089.42 : 51,134.16 = 16,315.91 : x
  2. Step 2: Convert to fraction form
    34,089.42/51,134.16 = 16,315.91/x
  3. Step 3: Cross multiply
    34,089.42x = 51,134.16 × 16,315.91
  4. Step 4: Simplify right side
    34,089.42x = 834,300,096.81
  5. Step 5: Solve for x
    x = 834,300,096.81/34,089.42
  6. Step 6: Final answer
    x = 24,473.87

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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.