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Finding the Fourth Proportional to 30,962.25, 42,739.02 and 18,387

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Solution

The fourth proportional to 30,962.25, 42,739.02 and 18,387 is: 25,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.25 : 42,739.02 = 18,387 : x
  2. Step 2: Convert to fraction form
    30,962.25/42,739.02 = 18,387/x
  3. Step 3: Cross multiply
    30,962.25x = 42,739.02 × 18,387
  4. Step 4: Simplify right side
    30,962.25x = 785,842,360.74
  5. Step 5: Solve for x
    x = 785,842,360.74/30,962.25
  6. Step 6: Final answer
    x = 25,380.66

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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.