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Finding the Fourth Proportional to 30,287.16, 41,795.06 and 16,858.04

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Solution

The fourth proportional to 30,287.16, 41,795.06 and 16,858.04 is: 23,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.16 : 41,795.06 = 16,858.04 : x
  2. Step 2: Convert to fraction form
    30,287.16/41,795.06 = 16,858.04/x
  3. Step 3: Cross multiply
    30,287.16x = 41,795.06 × 16,858.04
  4. Step 4: Simplify right side
    30,287.16x = 704,582,500.02
  5. Step 5: Solve for x
    x = 704,582,500.02/30,287.16
  6. Step 6: Final answer
    x = 23,263.41

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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.