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Finding the Fourth Proportional to 36,547.68, 50,433.36 and 20,632.80

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Solution

The fourth proportional to 36,547.68, 50,433.36 and 20,632.80 is: 28,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.68 : 50,433.36 = 20,632.80 : x
  2. Step 2: Convert to fraction form
    36,547.68/50,433.36 = 20,632.80/x
  3. Step 3: Cross multiply
    36,547.68x = 50,433.36 × 20,632.80
  4. Step 4: Simplify right side
    36,547.68x = 1,040,581,430.21
  5. Step 5: Solve for x
    x = 1,040,581,430.21/36,547.68
  6. Step 6: Final answer
    x = 28,471.89

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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.