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Finding the Fourth Proportional to 30,705.71, 42,376.37 and 17,276.18

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Solution

The fourth proportional to 30,705.71, 42,376.37 and 17,276.18 is: 23,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.71 : 42,376.37 = 17,276.18 : x
  2. Step 2: Convert to fraction form
    30,705.71/42,376.37 = 17,276.18/x
  3. Step 3: Cross multiply
    30,705.71x = 42,376.37 × 17,276.18
  4. Step 4: Simplify right side
    30,705.71x = 732,101,497.60
  5. Step 5: Solve for x
    x = 732,101,497.60/30,705.71
  6. Step 6: Final answer
    x = 23,842.52

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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.