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Finding the Fourth Proportional to 70,946.20, 106,424.16 and 18,361

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Solution

The fourth proportional to 70,946.20, 106,424.16 and 18,361 is: 27,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.20 : 106,424.16 = 18,361 : x
  2. Step 2: Convert to fraction form
    70,946.20/106,424.16 = 18,361/x
  3. Step 3: Cross multiply
    70,946.20x = 106,424.16 × 18,361
  4. Step 4: Simplify right side
    70,946.20x = 1,954,054,001.76
  5. Step 5: Solve for x
    x = 1,954,054,001.76/70,946.20
  6. Step 6: Final answer
    x = 27,542.76

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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.