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Finding the Fourth Proportional to 30,858.45, 42,582.20 and 17,431.01

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Solution

The fourth proportional to 30,858.45, 42,582.20 and 17,431.01 is: 24,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.45 : 42,582.20 = 17,431.01 : x
  2. Step 2: Convert to fraction form
    30,858.45/42,582.20 = 17,431.01/x
  3. Step 3: Cross multiply
    30,858.45x = 42,582.20 × 17,431.01
  4. Step 4: Simplify right side
    30,858.45x = 742,250,453.96
  5. Step 5: Solve for x
    x = 742,250,453.96/30,858.45
  6. Step 6: Final answer
    x = 24,053.39

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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.