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Finding the Fourth Proportional to 32,131.35, 48,189.74 and 14,352.66

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Solution

The fourth proportional to 32,131.35, 48,189.74 and 14,352.66 is: 21,525.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.35 : 48,189.74 = 14,352.66 : x
  2. Step 2: Convert to fraction form
    32,131.35/48,189.74 = 14,352.66/x
  3. Step 3: Cross multiply
    32,131.35x = 48,189.74 × 14,352.66
  4. Step 4: Simplify right side
    32,131.35x = 691,650,881.95
  5. Step 5: Solve for x
    x = 691,650,881.95/32,131.35
  6. Step 6: Final answer
    x = 21,525.73

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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.