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Finding the Fourth Proportional to 32,850, 45,334.62 and 18,704.16

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Solution

The fourth proportional to 32,850, 45,334.62 and 18,704.16 is: 25,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850 : 45,334.62 = 18,704.16 : x
  2. Step 2: Convert to fraction form
    32,850/45,334.62 = 18,704.16/x
  3. Step 3: Cross multiply
    32,850x = 45,334.62 × 18,704.16
  4. Step 4: Simplify right side
    32,850x = 847,945,986.02
  5. Step 5: Solve for x
    x = 847,945,986.02/32,850
  6. Step 6: Final answer
    x = 25,812.66

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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.