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Finding the Fourth Proportional to 30,077.81, 41,511.75 and 17,328.51

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Solution

The fourth proportional to 30,077.81, 41,511.75 and 17,328.51 is: 23,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.81 : 41,511.75 = 17,328.51 : x
  2. Step 2: Convert to fraction form
    30,077.81/41,511.75 = 17,328.51/x
  3. Step 3: Cross multiply
    30,077.81x = 41,511.75 × 17,328.51
  4. Step 4: Simplify right side
    30,077.81x = 719,336,688.35
  5. Step 5: Solve for x
    x = 719,336,688.35/30,077.81
  6. Step 6: Final answer
    x = 23,915.86

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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.