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Finding the Fourth Proportional to 30,769.90, 42,442.72 and 19,419.37

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Solution

The fourth proportional to 30,769.90, 42,442.72 and 19,419.37 is: 26,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.90 : 42,442.72 = 19,419.37 : x
  2. Step 2: Convert to fraction form
    30,769.90/42,442.72 = 19,419.37/x
  3. Step 3: Cross multiply
    30,769.90x = 42,442.72 × 19,419.37
  4. Step 4: Simplify right side
    30,769.90x = 824,210,883.49
  5. Step 5: Solve for x
    x = 824,210,883.49/30,769.90
  6. Step 6: Final answer
    x = 26,786.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.