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Finding the Fourth Proportional to 82,273.28, 123,316.65 and 37,808.15

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Solution

The fourth proportional to 82,273.28, 123,316.65 and 37,808.15 is: 56,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,273.28 : 123,316.65 = 37,808.15 : x
  2. Step 2: Convert to fraction form
    82,273.28/123,316.65 = 37,808.15/x
  3. Step 3: Cross multiply
    82,273.28x = 123,316.65 × 37,808.15
  4. Step 4: Simplify right side
    82,273.28x = 4,662,373,784.11
  5. Step 5: Solve for x
    x = 4,662,373,784.11/82,273.28
  6. Step 6: Final answer
    x = 56,669.36

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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.