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Finding the Fourth Proportional to 32,284.88, 48,430.10 and 8,911.31

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Solution

The fourth proportional to 32,284.88, 48,430.10 and 8,911.31 is: 13,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.88 : 48,430.10 = 8,911.31 : x
  2. Step 2: Convert to fraction form
    32,284.88/48,430.10 = 8,911.31/x
  3. Step 3: Cross multiply
    32,284.88x = 48,430.10 × 8,911.31
  4. Step 4: Simplify right side
    32,284.88x = 431,575,634.43
  5. Step 5: Solve for x
    x = 431,575,634.43/32,284.88
  6. Step 6: Final answer
    x = 13,367.73

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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.