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Finding the Fourth Proportional to 30,730.10, 46,096.02 and 16,696.85

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Solution

The fourth proportional to 30,730.10, 46,096.02 and 16,696.85 is: 25,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.10 : 46,096.02 = 16,696.85 : x
  2. Step 2: Convert to fraction form
    30,730.10/46,096.02 = 16,696.85/x
  3. Step 3: Cross multiply
    30,730.10x = 46,096.02 × 16,696.85
  4. Step 4: Simplify right side
    30,730.10x = 769,658,101.06
  5. Step 5: Solve for x
    x = 769,658,101.06/30,730.10
  6. Step 6: Final answer
    x = 25,045.74

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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.