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Finding the Fourth Proportional to 30,641.34, 42,283.98 and 18,724.62

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Solution

The fourth proportional to 30,641.34, 42,283.98 and 18,724.62 is: 25,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.34 : 42,283.98 = 18,724.62 : x
  2. Step 2: Convert to fraction form
    30,641.34/42,283.98 = 18,724.62/x
  3. Step 3: Cross multiply
    30,641.34x = 42,283.98 × 18,724.62
  4. Step 4: Simplify right side
    30,641.34x = 791,751,457.59
  5. Step 5: Solve for x
    x = 791,751,457.59/30,641.34
  6. Step 6: Final answer
    x = 25,839.32

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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.