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Finding the Fourth Proportional to 71,384.47, 98,522.76 and 41,164.38

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Solution

The fourth proportional to 71,384.47, 98,522.76 and 41,164.38 is: 56,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,384.47 : 98,522.76 = 41,164.38 : x
  2. Step 2: Convert to fraction form
    71,384.47/98,522.76 = 41,164.38/x
  3. Step 3: Cross multiply
    71,384.47x = 98,522.76 × 41,164.38
  4. Step 4: Simplify right side
    71,384.47x = 4,055,628,485.66
  5. Step 5: Solve for x
    x = 4,055,628,485.66/71,384.47
  6. Step 6: Final answer
    x = 56,813.88

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Why These Related Problems?

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