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Finding the Fourth Proportional to 77,698.19, 116,530.41 and 27,781.73

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Solution

The fourth proportional to 77,698.19, 116,530.41 and 27,781.73 is: 41,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698.19 : 116,530.41 = 27,781.73 : x
  2. Step 2: Convert to fraction form
    77,698.19/116,530.41 = 27,781.73/x
  3. Step 3: Cross multiply
    77,698.19x = 116,530.41 × 27,781.73
  4. Step 4: Simplify right side
    77,698.19x = 3,237,415,804.76
  5. Step 5: Solve for x
    x = 3,237,415,804.76/77,698.19
  6. Step 6: Final answer
    x = 41,666.56

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1.5x scale

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.