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Finding the Fourth Proportional to 30,661.92, 45,954.41 and 13,111.11

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Solution

The fourth proportional to 30,661.92, 45,954.41 and 13,111.11 is: 19,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.92 : 45,954.41 = 13,111.11 : x
  2. Step 2: Convert to fraction form
    30,661.92/45,954.41 = 13,111.11/x
  3. Step 3: Cross multiply
    30,661.92x = 45,954.41 × 13,111.11
  4. Step 4: Simplify right side
    30,661.92x = 602,513,258.94
  5. Step 5: Solve for x
    x = 602,513,258.94/30,661.92
  6. Step 6: Final answer
    x = 19,650.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.