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Finding the Fourth Proportional to 77,661.81, 116,381.21 and 33,276.51

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Solution

The fourth proportional to 77,661.81, 116,381.21 and 33,276.51 is: 49,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,661.81 : 116,381.21 = 33,276.51 : x
  2. Step 2: Convert to fraction form
    77,661.81/116,381.21 = 33,276.51/x
  3. Step 3: Cross multiply
    77,661.81x = 116,381.21 × 33,276.51
  4. Step 4: Simplify right side
    77,661.81x = 3,872,760,331.99
  5. Step 5: Solve for x
    x = 3,872,760,331.99/77,661.81
  6. Step 6: Final answer
    x = 49,866.99

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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.