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Finding the Fourth Proportional to 86,905.25, 119,929.25 and 47,161.25

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Solution

The fourth proportional to 86,905.25, 119,929.25 and 47,161.25 is: 65,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,905.25 : 119,929.25 = 47,161.25 : x
  2. Step 2: Convert to fraction form
    86,905.25/119,929.25 = 47,161.25/x
  3. Step 3: Cross multiply
    86,905.25x = 119,929.25 × 47,161.25
  4. Step 4: Simplify right side
    86,905.25x = 5,656,013,341.56
  5. Step 5: Solve for x
    x = 5,656,013,341.56/86,905.25
  6. Step 6: Final answer
    x = 65,082.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.