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Finding the Fourth Proportional to 84,614.81, 116,764.43 and 50,642.01

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Solution

The fourth proportional to 84,614.81, 116,764.43 and 50,642.01 is: 69,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,614.81 : 116,764.43 = 50,642.01 : x
  2. Step 2: Convert to fraction form
    84,614.81/116,764.43 = 50,642.01/x
  3. Step 3: Cross multiply
    84,614.81x = 116,764.43 × 50,642.01
  4. Step 4: Simplify right side
    84,614.81x = 5,913,185,178.49
  5. Step 5: Solve for x
    x = 5,913,185,178.49/84,614.81
  6. Step 6: Final answer
    x = 69,883.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.