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Finding the Fourth Proportional to 77,665.34, 116,542.26 and 30,274.27

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Solution

The fourth proportional to 77,665.34, 116,542.26 and 30,274.27 is: 45,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,665.34 : 116,542.26 = 30,274.27 : x
  2. Step 2: Convert to fraction form
    77,665.34/116,542.26 = 30,274.27/x
  3. Step 3: Cross multiply
    77,665.34x = 116,542.26 × 30,274.27
  4. Step 4: Simplify right side
    77,665.34x = 3,528,231,554.29
  5. Step 5: Solve for x
    x = 3,528,231,554.29/77,665.34
  6. Step 6: Final answer
    x = 45,428.65

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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.