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Finding the Fourth Proportional to 36,628.17, 50,547.87 and 20,715

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Solution

The fourth proportional to 36,628.17, 50,547.87 and 20,715 is: 28,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,628.17 : 50,547.87 = 20,715 : x
  2. Step 2: Convert to fraction form
    36,628.17/50,547.87 = 20,715/x
  3. Step 3: Cross multiply
    36,628.17x = 50,547.87 × 20,715
  4. Step 4: Simplify right side
    36,628.17x = 1,047,099,127.05
  5. Step 5: Solve for x
    x = 1,047,099,127.05/36,628.17
  6. Step 6: Final answer
    x = 28,587.26

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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.