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Finding the Fourth Proportional to 77,427.94, 116,193.78 and 33,065.08

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Solution

The fourth proportional to 77,427.94, 116,193.78 and 33,065.08 is: 49,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,427.94 : 116,193.78 = 33,065.08 : x
  2. Step 2: Convert to fraction form
    77,427.94/116,193.78 = 33,065.08/x
  3. Step 3: Cross multiply
    77,427.94x = 116,193.78 × 33,065.08
  4. Step 4: Simplify right side
    77,427.94x = 3,841,956,631.20
  5. Step 5: Solve for x
    x = 3,841,956,631.20/77,427.94
  6. Step 6: Final answer
    x = 49,619.77

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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.