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Finding the Fourth Proportional to 32,094.84, 48,115.26 and 14,559.96

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Solution

The fourth proportional to 32,094.84, 48,115.26 and 14,559.96 is: 21,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.84 : 48,115.26 = 14,559.96 : x
  2. Step 2: Convert to fraction form
    32,094.84/48,115.26 = 14,559.96/x
  3. Step 3: Cross multiply
    32,094.84x = 48,115.26 × 14,559.96
  4. Step 4: Simplify right side
    32,094.84x = 700,556,260.99
  5. Step 5: Solve for x
    x = 700,556,260.99/32,094.84
  6. Step 6: Final answer
    x = 21,827.69

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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.