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Finding the Fourth Proportional to 30,771.36, 46,157.01 and 7,397.79

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Solution

The fourth proportional to 30,771.36, 46,157.01 and 7,397.79 is: 11,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.36 : 46,157.01 = 7,397.79 : x
  2. Step 2: Convert to fraction form
    30,771.36/46,157.01 = 7,397.79/x
  3. Step 3: Cross multiply
    30,771.36x = 46,157.01 × 7,397.79
  4. Step 4: Simplify right side
    30,771.36x = 341,459,867.01
  5. Step 5: Solve for x
    x = 341,459,867.01/30,771.36
  6. Step 6: Final answer
    x = 11,096.68

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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.