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Finding the Fourth Proportional to 77,788.14, 116,653.02 and 33,392.04

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Solution

The fourth proportional to 77,788.14, 116,653.02 and 33,392.04 is: 50,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788.14 : 116,653.02 = 33,392.04 : x
  2. Step 2: Convert to fraction form
    77,788.14/116,653.02 = 33,392.04/x
  3. Step 3: Cross multiply
    77,788.14x = 116,653.02 × 33,392.04
  4. Step 4: Simplify right side
    77,788.14x = 3,895,282,309.96
  5. Step 5: Solve for x
    x = 3,895,282,309.96/77,788.14
  6. Step 6: Final answer
    x = 50,075.53

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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.