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Finding the Fourth Proportional to 30,331.38, 41,852.37 and 17,582.07

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Solution

The fourth proportional to 30,331.38, 41,852.37 and 17,582.07 is: 24,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.38 : 41,852.37 = 17,582.07 : x
  2. Step 2: Convert to fraction form
    30,331.38/41,852.37 = 17,582.07/x
  3. Step 3: Cross multiply
    30,331.38x = 41,852.37 × 17,582.07
  4. Step 4: Simplify right side
    30,331.38x = 735,851,299.01
  5. Step 5: Solve for x
    x = 735,851,299.01/30,331.38
  6. Step 6: Final answer
    x = 24,260.40

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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.