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Finding the Fourth Proportional to 32,709.36, 49,054.32 and 11,928

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Solution

The fourth proportional to 32,709.36, 49,054.32 and 11,928 is: 17,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.36 : 49,054.32 = 11,928 : x
  2. Step 2: Convert to fraction form
    32,709.36/49,054.32 = 11,928/x
  3. Step 3: Cross multiply
    32,709.36x = 49,054.32 × 11,928
  4. Step 4: Simplify right side
    32,709.36x = 585,119,928.96
  5. Step 5: Solve for x
    x = 585,119,928.96/32,709.36
  6. Step 6: Final answer
    x = 17,888.46

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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.