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Finding the Fourth Proportional to 77,410.56, 116,155.80 and 33,025.40

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Solution

The fourth proportional to 77,410.56, 116,155.80 and 33,025.40 is: 49,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.56 : 116,155.80 = 33,025.40 : x
  2. Step 2: Convert to fraction form
    77,410.56/116,155.80 = 33,025.40/x
  3. Step 3: Cross multiply
    77,410.56x = 116,155.80 × 33,025.40
  4. Step 4: Simplify right side
    77,410.56x = 3,836,091,757.32
  5. Step 5: Solve for x
    x = 3,836,091,757.32/77,410.56
  6. Step 6: Final answer
    x = 49,555.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.