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Finding the Fourth Proportional to 73,696.48, 101,703.12 and 40,164.64

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Solution

The fourth proportional to 73,696.48, 101,703.12 and 40,164.64 is: 55,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696.48 : 101,703.12 = 40,164.64 : x
  2. Step 2: Convert to fraction form
    73,696.48/101,703.12 = 40,164.64/x
  3. Step 3: Cross multiply
    73,696.48x = 101,703.12 × 40,164.64
  4. Step 4: Simplify right side
    73,696.48x = 4,084,869,201.68
  5. Step 5: Solve for x
    x = 4,084,869,201.68/73,696.48
  6. Step 6: Final answer
    x = 55,428.28

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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.