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Finding the Fourth Proportional to 54,409.60, 75,100.80 and 35,288.96

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Solution

The fourth proportional to 54,409.60, 75,100.80 and 35,288.96 is: 48,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,409.60 : 75,100.80 = 35,288.96 : x
  2. Step 2: Convert to fraction form
    54,409.60/75,100.80 = 35,288.96/x
  3. Step 3: Cross multiply
    54,409.60x = 75,100.80 × 35,288.96
  4. Step 4: Simplify right side
    54,409.60x = 2,650,229,127.17
  5. Step 5: Solve for x
    x = 2,650,229,127.17/54,409.60
  6. Step 6: Final answer
    x = 48,708.85

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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.