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Finding the Fourth Proportional to 30,467.22, 45,701.76 and 8,281.07

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Solution

The fourth proportional to 30,467.22, 45,701.76 and 8,281.07 is: 12,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467.22 : 45,701.76 = 8,281.07 : x
  2. Step 2: Convert to fraction form
    30,467.22/45,701.76 = 8,281.07/x
  3. Step 3: Cross multiply
    30,467.22x = 45,701.76 × 8,281.07
  4. Step 4: Simplify right side
    30,467.22x = 378,459,245.17
  5. Step 5: Solve for x
    x = 378,459,245.17/30,467.22
  6. Step 6: Final answer
    x = 12,421.85

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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.