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Finding the Fourth Proportional to 77,410.68, 106,718.76 and 51,921.60

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Solution

The fourth proportional to 77,410.68, 106,718.76 and 51,921.60 is: 71,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.68 : 106,718.76 = 51,921.60 : x
  2. Step 2: Convert to fraction form
    77,410.68/106,718.76 = 51,921.60/x
  3. Step 3: Cross multiply
    77,410.68x = 106,718.76 × 51,921.60
  4. Step 4: Simplify right side
    77,410.68x = 5,541,008,769.22
  5. Step 5: Solve for x
    x = 5,541,008,769.22/77,410.68
  6. Step 6: Final answer
    x = 71,579.38

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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.