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Finding the Fourth Proportional to 30,077.36, 41,511 and 17,506.16

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Solution

The fourth proportional to 30,077.36, 41,511 and 17,506.16 is: 24,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.36 : 41,511 = 17,506.16 : x
  2. Step 2: Convert to fraction form
    30,077.36/41,511 = 17,506.16/x
  3. Step 3: Cross multiply
    30,077.36x = 41,511 × 17,506.16
  4. Step 4: Simplify right side
    30,077.36x = 726,698,207.76
  5. Step 5: Solve for x
    x = 726,698,207.76/30,077.36
  6. Step 6: Final answer
    x = 24,160.97

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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.