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Finding the Fourth Proportional to 30,997.48, 46,484.78 and 11,271.24

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Solution

The fourth proportional to 30,997.48, 46,484.78 and 11,271.24 is: 16,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.48 : 46,484.78 = 11,271.24 : x
  2. Step 2: Convert to fraction form
    30,997.48/46,484.78 = 11,271.24/x
  3. Step 3: Cross multiply
    30,997.48x = 46,484.78 × 11,271.24
  4. Step 4: Simplify right side
    30,997.48x = 523,941,111.73
  5. Step 5: Solve for x
    x = 523,941,111.73/30,997.48
  6. Step 6: Final answer
    x = 16,902.70

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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.