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Finding the Fourth Proportional to 102,023.34, 153,034.82 and 27,143.57

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Solution

The fourth proportional to 102,023.34, 153,034.82 and 27,143.57 is: 40,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.34 : 153,034.82 = 27,143.57 : x
  2. Step 2: Convert to fraction form
    102,023.34/153,034.82 = 27,143.57/x
  3. Step 3: Cross multiply
    102,023.34x = 153,034.82 × 27,143.57
  4. Step 4: Simplify right side
    102,023.34x = 4,153,910,448.22
  5. Step 5: Solve for x
    x = 4,153,910,448.22/102,023.34
  6. Step 6: Final answer
    x = 40,715.30

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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.