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Finding the Fourth Proportional to 30,430.29, 41,993.02 and 17,001.64

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Solution

The fourth proportional to 30,430.29, 41,993.02 and 17,001.64 is: 23,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.29 : 41,993.02 = 17,001.64 : x
  2. Step 2: Convert to fraction form
    30,430.29/41,993.02 = 17,001.64/x
  3. Step 3: Cross multiply
    30,430.29x = 41,993.02 × 17,001.64
  4. Step 4: Simplify right side
    30,430.29x = 713,950,208.55
  5. Step 5: Solve for x
    x = 713,950,208.55/30,430.29
  6. Step 6: Final answer
    x = 23,461.83

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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.