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Finding the Fourth Proportional to 30,495.97, 45,739.33 and 8,311.12

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Solution

The fourth proportional to 30,495.97, 45,739.33 and 8,311.12 is: 12,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.97 : 45,739.33 = 8,311.12 : x
  2. Step 2: Convert to fraction form
    30,495.97/45,739.33 = 8,311.12/x
  3. Step 3: Cross multiply
    30,495.97x = 45,739.33 × 8,311.12
  4. Step 4: Simplify right side
    30,495.97x = 380,144,925.22
  5. Step 5: Solve for x
    x = 380,144,925.22/30,495.97
  6. Step 6: Final answer
    x = 12,465.42

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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.