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Finding the Fourth Proportional to 74,489.36, 102,796.43 and 40,497.76

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Solution

The fourth proportional to 74,489.36, 102,796.43 and 40,497.76 is: 55,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,489.36 : 102,796.43 = 40,497.76 : x
  2. Step 2: Convert to fraction form
    74,489.36/102,796.43 = 40,497.76/x
  3. Step 3: Cross multiply
    74,489.36x = 102,796.43 × 40,497.76
  4. Step 4: Simplify right side
    74,489.36x = 4,163,025,151.00
  5. Step 5: Solve for x
    x = 4,163,025,151.00/74,489.36
  6. Step 6: Final answer
    x = 55,887.51

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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.