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Finding the Fourth Proportional to 30,957.84, 42,724.48 and 17,531.46

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Solution

The fourth proportional to 30,957.84, 42,724.48 and 17,531.46 is: 24,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.84 : 42,724.48 = 17,531.46 : x
  2. Step 2: Convert to fraction form
    30,957.84/42,724.48 = 17,531.46/x
  3. Step 3: Cross multiply
    30,957.84x = 42,724.48 × 17,531.46
  4. Step 4: Simplify right side
    30,957.84x = 749,022,512.14
  5. Step 5: Solve for x
    x = 749,022,512.14/30,957.84
  6. Step 6: Final answer
    x = 24,194.92

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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.