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Finding the Fourth Proportional to 82,538.96, 123,807.20 and 20,209.46

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Solution

The fourth proportional to 82,538.96, 123,807.20 and 20,209.46 is: 30,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,538.96 : 123,807.20 = 20,209.46 : x
  2. Step 2: Convert to fraction form
    82,538.96/123,807.20 = 20,209.46/x
  3. Step 3: Cross multiply
    82,538.96x = 123,807.20 × 20,209.46
  4. Step 4: Simplify right side
    82,538.96x = 2,502,076,656.11
  5. Step 5: Solve for x
    x = 2,502,076,656.11/82,538.96
  6. Step 6: Final answer
    x = 30,313.89

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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.