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Finding the Fourth Proportional to 36,547.84, 50,436.03 and 19,780.84

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Solution

The fourth proportional to 36,547.84, 50,436.03 and 19,780.84 is: 27,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.84 : 50,436.03 = 19,780.84 : x
  2. Step 2: Convert to fraction form
    36,547.84/50,436.03 = 19,780.84/x
  3. Step 3: Cross multiply
    36,547.84x = 50,436.03 × 19,780.84
  4. Step 4: Simplify right side
    36,547.84x = 997,667,039.67
  5. Step 5: Solve for x
    x = 997,667,039.67/36,547.84
  6. Step 6: Final answer
    x = 27,297.57

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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.