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Finding the Fourth Proportional to 30,872.72, 46,311.12 and 12,151.28

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Solution

The fourth proportional to 30,872.72, 46,311.12 and 12,151.28 is: 18,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.72 : 46,311.12 = 12,151.28 : x
  2. Step 2: Convert to fraction form
    30,872.72/46,311.12 = 12,151.28/x
  3. Step 3: Cross multiply
    30,872.72x = 46,311.12 × 12,151.28
  4. Step 4: Simplify right side
    30,872.72x = 562,739,386.23
  5. Step 5: Solve for x
    x = 562,739,386.23/30,872.72
  6. Step 6: Final answer
    x = 18,227.72

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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.