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Finding the Fourth Proportional to 35,497.65, 53,168.70 and 21,617.49

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Solution

The fourth proportional to 35,497.65, 53,168.70 and 21,617.49 is: 32,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.65 : 53,168.70 = 21,617.49 : x
  2. Step 2: Convert to fraction form
    35,497.65/53,168.70 = 21,617.49/x
  3. Step 3: Cross multiply
    35,497.65x = 53,168.70 × 21,617.49
  4. Step 4: Simplify right side
    35,497.65x = 1,149,373,840.56
  5. Step 5: Solve for x
    x = 1,149,373,840.56/35,497.65
  6. Step 6: Final answer
    x = 32,378.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.