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Finding the Fourth Proportional to 77,415.80, 115,929.30 and 50,977.40

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Solution

The fourth proportional to 77,415.80, 115,929.30 and 50,977.40 is: 76,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415.80 : 115,929.30 = 50,977.40 : x
  2. Step 2: Convert to fraction form
    77,415.80/115,929.30 = 50,977.40/x
  3. Step 3: Cross multiply
    77,415.80x = 115,929.30 × 50,977.40
  4. Step 4: Simplify right side
    77,415.80x = 5,909,774,297.82
  5. Step 5: Solve for x
    x = 5,909,774,297.82/77,415.80
  6. Step 6: Final answer
    x = 76,338.09

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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.