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Finding the Fourth Proportional to 30,502.49, 42,091.14 and 18,564.51

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Solution

The fourth proportional to 30,502.49, 42,091.14 and 18,564.51 is: 25,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.49 : 42,091.14 = 18,564.51 : x
  2. Step 2: Convert to fraction form
    30,502.49/42,091.14 = 18,564.51/x
  3. Step 3: Cross multiply
    30,502.49x = 42,091.14 × 18,564.51
  4. Step 4: Simplify right side
    30,502.49x = 781,401,389.44
  5. Step 5: Solve for x
    x = 781,401,389.44/30,502.49
  6. Step 6: Final answer
    x = 25,617.63

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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.