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Finding the Fourth Proportional to 36,588.16, 50,491.68 and 19,821.16

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Solution

The fourth proportional to 36,588.16, 50,491.68 and 19,821.16 is: 27,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588.16 : 50,491.68 = 19,821.16 : x
  2. Step 2: Convert to fraction form
    36,588.16/50,491.68 = 19,821.16/x
  3. Step 3: Cross multiply
    36,588.16x = 50,491.68 × 19,821.16
  4. Step 4: Simplify right side
    36,588.16x = 1,000,803,667.95
  5. Step 5: Solve for x
    x = 1,000,803,667.95/36,588.16
  6. Step 6: Final answer
    x = 27,353.21

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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.