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Finding the Fourth Proportional to 32,098.96, 48,119.28 and 14,559.24

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Solution

The fourth proportional to 32,098.96, 48,119.28 and 14,559.24 is: 21,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.96 : 48,119.28 = 14,559.24 : x
  2. Step 2: Convert to fraction form
    32,098.96/48,119.28 = 14,559.24/x
  3. Step 3: Cross multiply
    32,098.96x = 48,119.28 × 14,559.24
  4. Step 4: Simplify right side
    32,098.96x = 700,580,146.15
  5. Step 5: Solve for x
    x = 700,580,146.15/32,098.96
  6. Step 6: Final answer
    x = 21,825.63

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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.