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Finding the Fourth Proportional to 34,074.72, 51,038.19 and 16,507.71

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Solution

The fourth proportional to 34,074.72, 51,038.19 and 16,507.71 is: 24,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.72 : 51,038.19 = 16,507.71 : x
  2. Step 2: Convert to fraction form
    34,074.72/51,038.19 = 16,507.71/x
  3. Step 3: Cross multiply
    34,074.72x = 51,038.19 × 16,507.71
  4. Step 4: Simplify right side
    34,074.72x = 842,523,639.44
  5. Step 5: Solve for x
    x = 842,523,639.44/34,074.72
  6. Step 6: Final answer
    x = 24,725.77

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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.