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Finding the Fourth Proportional to 36,038.12, 49,741.49 and 21,902.81

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Solution

The fourth proportional to 36,038.12, 49,741.49 and 21,902.81 is: 30,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.12 : 49,741.49 = 21,902.81 : x
  2. Step 2: Convert to fraction form
    36,038.12/49,741.49 = 21,902.81/x
  3. Step 3: Cross multiply
    36,038.12x = 49,741.49 × 21,902.81
  4. Step 4: Simplify right side
    36,038.12x = 1,089,478,210.64
  5. Step 5: Solve for x
    x = 1,089,478,210.64/36,038.12
  6. Step 6: Final answer
    x = 30,231.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.