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Finding the Fourth Proportional to 73,167.51, 109,782.96 and 25,816.50

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Solution

The fourth proportional to 73,167.51, 109,782.96 and 25,816.50 is: 38,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,167.51 : 109,782.96 = 25,816.50 : x
  2. Step 2: Convert to fraction form
    73,167.51/109,782.96 = 25,816.50/x
  3. Step 3: Cross multiply
    73,167.51x = 109,782.96 × 25,816.50
  4. Step 4: Simplify right side
    73,167.51x = 2,834,211,786.84
  5. Step 5: Solve for x
    x = 2,834,211,786.84/73,167.51
  6. Step 6: Final answer
    x = 38,735.93

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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.