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Finding the Fourth Proportional to 30,132.68, 41,583.10 and 16,703.90

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Solution

The fourth proportional to 30,132.68, 41,583.10 and 16,703.90 is: 23,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132.68 : 41,583.10 = 16,703.90 : x
  2. Step 2: Convert to fraction form
    30,132.68/41,583.10 = 16,703.90/x
  3. Step 3: Cross multiply
    30,132.68x = 41,583.10 × 16,703.90
  4. Step 4: Simplify right side
    30,132.68x = 694,599,902.33
  5. Step 5: Solve for x
    x = 694,599,902.33/30,132.68
  6. Step 6: Final answer
    x = 23,051.38

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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.