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Finding the Fourth Proportional to 30,797.32, 46,196.02 and 7,423.76

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Solution

The fourth proportional to 30,797.32, 46,196.02 and 7,423.76 is: 11,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.32 : 46,196.02 = 7,423.76 : x
  2. Step 2: Convert to fraction form
    30,797.32/46,196.02 = 7,423.76/x
  3. Step 3: Cross multiply
    30,797.32x = 46,196.02 × 7,423.76
  4. Step 4: Simplify right side
    30,797.32x = 342,948,165.44
  5. Step 5: Solve for x
    x = 342,948,165.44/30,797.32
  6. Step 6: Final answer
    x = 11,135.65

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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.