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Finding the Fourth Proportional to 36,547.74, 50,435.90 and 19,780.74

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Solution

The fourth proportional to 36,547.74, 50,435.90 and 19,780.74 is: 27,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.74 : 50,435.90 = 19,780.74 : x
  2. Step 2: Convert to fraction form
    36,547.74/50,435.90 = 19,780.74/x
  3. Step 3: Cross multiply
    36,547.74x = 50,435.90 × 19,780.74
  4. Step 4: Simplify right side
    36,547.74x = 997,659,325.66
  5. Step 5: Solve for x
    x = 997,659,325.66/36,547.74
  6. Step 6: Final answer
    x = 27,297.43

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1.5x scale

Why These Related Problems?

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