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Finding the Fourth Proportional to 36,547.20, 50,435.13 and 19,780.20

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Solution

The fourth proportional to 36,547.20, 50,435.13 and 19,780.20 is: 27,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.20 : 50,435.13 = 19,780.20 : x
  2. Step 2: Convert to fraction form
    36,547.20/50,435.13 = 19,780.20/x
  3. Step 3: Cross multiply
    36,547.20x = 50,435.13 × 19,780.20
  4. Step 4: Simplify right side
    36,547.20x = 997,616,958.43
  5. Step 5: Solve for x
    x = 997,616,958.43/36,547.20
  6. Step 6: Final answer
    x = 27,296.67

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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.