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Finding the Fourth Proportional to 74,309.56, 102,446.04 and 53,051.92

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Solution

The fourth proportional to 74,309.56, 102,446.04 and 53,051.92 is: 73,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,309.56 : 102,446.04 = 53,051.92 : x
  2. Step 2: Convert to fraction form
    74,309.56/102,446.04 = 53,051.92/x
  3. Step 3: Cross multiply
    74,309.56x = 102,446.04 × 53,051.92
  4. Step 4: Simplify right side
    74,309.56x = 5,434,959,118.40
  5. Step 5: Solve for x
    x = 5,434,959,118.40/74,309.56
  6. Step 6: Final answer
    x = 73,139.43

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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.