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Finding the Fourth Proportional to 74,410.56, 102,686.64 and 40,876.56

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Solution

The fourth proportional to 74,410.56, 102,686.64 and 40,876.56 is: 56,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,410.56 : 102,686.64 = 40,876.56 : x
  2. Step 2: Convert to fraction form
    74,410.56/102,686.64 = 40,876.56/x
  3. Step 3: Cross multiply
    74,410.56x = 102,686.64 × 40,876.56
  4. Step 4: Simplify right side
    74,410.56x = 4,197,476,601.16
  5. Step 5: Solve for x
    x = 4,197,476,601.16/74,410.56
  6. Step 6: Final answer
    x = 56,409.69

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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.