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Finding the Fourth Proportional to 30,430.67, 41,993.54 and 17,002.02

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Solution

The fourth proportional to 30,430.67, 41,993.54 and 17,002.02 is: 23,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.67 : 41,993.54 = 17,002.02 : x
  2. Step 2: Convert to fraction form
    30,430.67/41,993.54 = 17,002.02/x
  3. Step 3: Cross multiply
    30,430.67x = 41,993.54 × 17,002.02
  4. Step 4: Simplify right side
    30,430.67x = 713,974,906.96
  5. Step 5: Solve for x
    x = 713,974,906.96/30,430.67
  6. Step 6: Final answer
    x = 23,462.35

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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.