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Finding the Fourth Proportional to 32,494.32, 48,731.55 and 13,774

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Solution

The fourth proportional to 32,494.32, 48,731.55 and 13,774 is: 20,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.32 : 48,731.55 = 13,774 : x
  2. Step 2: Convert to fraction form
    32,494.32/48,731.55 = 13,774/x
  3. Step 3: Cross multiply
    32,494.32x = 48,731.55 × 13,774
  4. Step 4: Simplify right side
    32,494.32x = 671,228,369.70
  5. Step 5: Solve for x
    x = 671,228,369.70/32,494.32
  6. Step 6: Final answer
    x = 20,656.79

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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.