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Finding the Fourth Proportional to 30,730.69, 42,409.14 and 17,302.44

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Solution

The fourth proportional to 30,730.69, 42,409.14 and 17,302.44 is: 23,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.69 : 42,409.14 = 17,302.44 : x
  2. Step 2: Convert to fraction form
    30,730.69/42,409.14 = 17,302.44/x
  3. Step 3: Cross multiply
    30,730.69x = 42,409.14 × 17,302.44
  4. Step 4: Simplify right side
    30,730.69x = 733,781,694.45
  5. Step 5: Solve for x
    x = 733,781,694.45/30,730.69
  6. Step 6: Final answer
    x = 23,877.81

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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.