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Finding the Fourth Proportional to 83,384.66, 115,070.03 and 45,143.23

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Solution

The fourth proportional to 83,384.66, 115,070.03 and 45,143.23 is: 62,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384.66 : 115,070.03 = 45,143.23 : x
  2. Step 2: Convert to fraction form
    83,384.66/115,070.03 = 45,143.23/x
  3. Step 3: Cross multiply
    83,384.66x = 115,070.03 × 45,143.23
  4. Step 4: Simplify right side
    83,384.66x = 5,194,632,604.68
  5. Step 5: Solve for x
    x = 5,194,632,604.68/83,384.66
  6. Step 6: Final answer
    x = 62,297.22

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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.