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Finding the Fourth Proportional to 30,152.92, 41,583.81 and 18,823.46

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Solution

The fourth proportional to 30,152.92, 41,583.81 and 18,823.46 is: 25,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.92 : 41,583.81 = 18,823.46 : x
  2. Step 2: Convert to fraction form
    30,152.92/41,583.81 = 18,823.46/x
  3. Step 3: Cross multiply
    30,152.92x = 41,583.81 × 18,823.46
  4. Step 4: Simplify right side
    30,152.92x = 782,751,090.07
  5. Step 5: Solve for x
    x = 782,751,090.07/30,152.92
  6. Step 6: Final answer
    x = 25,959.38

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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.