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Finding the Fourth Proportional to 82,034.14, 123,051.24 and 26,630.14

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Solution

The fourth proportional to 82,034.14, 123,051.24 and 26,630.14 is: 39,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,034.14 : 123,051.24 = 26,630.14 : x
  2. Step 2: Convert to fraction form
    82,034.14/123,051.24 = 26,630.14/x
  3. Step 3: Cross multiply
    82,034.14x = 123,051.24 × 26,630.14
  4. Step 4: Simplify right side
    82,034.14x = 3,276,871,748.37
  5. Step 5: Solve for x
    x = 3,276,871,748.37/82,034.14
  6. Step 6: Final answer
    x = 39,945.22

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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.