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Finding the Fourth Proportional to 82,347, 123,685.80 and 49,131.88

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Solution

The fourth proportional to 82,347, 123,685.80 and 49,131.88 is: 73,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,347 : 123,685.80 = 49,131.88 : x
  2. Step 2: Convert to fraction form
    82,347/123,685.80 = 49,131.88/x
  3. Step 3: Cross multiply
    82,347x = 123,685.80 × 49,131.88
  4. Step 4: Simplify right side
    82,347x = 6,076,915,883.30
  5. Step 5: Solve for x
    x = 6,076,915,883.30/82,347
  6. Step 6: Final answer
    x = 73,796.45

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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.