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Finding the Fourth Proportional to 82,302.56, 123,434.40 and 37,901.60

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Solution

The fourth proportional to 82,302.56, 123,434.40 and 37,901.60 is: 56,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,302.56 : 123,434.40 = 37,901.60 : x
  2. Step 2: Convert to fraction form
    82,302.56/123,434.40 = 37,901.60/x
  3. Step 3: Cross multiply
    82,302.56x = 123,434.40 × 37,901.60
  4. Step 4: Simplify right side
    82,302.56x = 4,678,361,255.04
  5. Step 5: Solve for x
    x = 4,678,361,255.04/82,302.56
  6. Step 6: Final answer
    x = 56,843.45

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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.