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Finding the Fourth Proportional to 30,189.57, 41,647.13 and 21,242.01

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Solution

The fourth proportional to 30,189.57, 41,647.13 and 21,242.01 is: 29,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.57 : 41,647.13 = 21,242.01 : x
  2. Step 2: Convert to fraction form
    30,189.57/41,647.13 = 21,242.01/x
  3. Step 3: Cross multiply
    30,189.57x = 41,647.13 × 21,242.01
  4. Step 4: Simplify right side
    30,189.57x = 884,668,645.72
  5. Step 5: Solve for x
    x = 884,668,645.72/30,189.57
  6. Step 6: Final answer
    x = 29,303.78

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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.