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Finding the Fourth Proportional to 36,649.81, 54,968.92 and 14,157.16

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Solution

The fourth proportional to 36,649.81, 54,968.92 and 14,157.16 is: 21,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,649.81 : 54,968.92 = 14,157.16 : x
  2. Step 2: Convert to fraction form
    36,649.81/54,968.92 = 14,157.16/x
  3. Step 3: Cross multiply
    36,649.81x = 54,968.92 × 14,157.16
  4. Step 4: Simplify right side
    36,649.81x = 778,203,795.47
  5. Step 5: Solve for x
    x = 778,203,795.47/36,649.81
  6. Step 6: Final answer
    x = 21,233.50

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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.