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Finding the Fourth Proportional to 30,957.84, 46,432.44 and 11,241.36

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Solution

The fourth proportional to 30,957.84, 46,432.44 and 11,241.36 is: 16,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.84 : 46,432.44 = 11,241.36 : x
  2. Step 2: Convert to fraction form
    30,957.84/46,432.44 = 11,241.36/x
  3. Step 3: Cross multiply
    30,957.84x = 46,432.44 × 11,241.36
  4. Step 4: Simplify right side
    30,957.84x = 521,963,773.72
  5. Step 5: Solve for x
    x = 521,963,773.72/30,957.84
  6. Step 6: Final answer
    x = 16,860.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.