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Finding the Fourth Proportional to 30,706.40, 42,371.06 and 19,371.62

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Solution

The fourth proportional to 30,706.40, 42,371.06 and 19,371.62 is: 26,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.40 : 42,371.06 = 19,371.62 : x
  2. Step 2: Convert to fraction form
    30,706.40/42,371.06 = 19,371.62/x
  3. Step 3: Cross multiply
    30,706.40x = 42,371.06 × 19,371.62
  4. Step 4: Simplify right side
    30,706.40x = 820,796,073.32
  5. Step 5: Solve for x
    x = 820,796,073.32/30,706.40
  6. Step 6: Final answer
    x = 26,730.46

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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.