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Finding the Fourth Proportional to 82,349.98, 123,526.32 and 23,187.07

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Solution

The fourth proportional to 82,349.98, 123,526.32 and 23,187.07 is: 34,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,349.98 : 123,526.32 = 23,187.07 : x
  2. Step 2: Convert to fraction form
    82,349.98/123,526.32 = 23,187.07/x
  3. Step 3: Cross multiply
    82,349.98x = 123,526.32 × 23,187.07
  4. Step 4: Simplify right side
    82,349.98x = 2,864,213,428.68
  5. Step 5: Solve for x
    x = 2,864,213,428.68/82,349.98
  6. Step 6: Final answer
    x = 34,780.99

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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.