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Finding the Fourth Proportional to 86,133.88, 129,237.54 and 33,580.36

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Solution

The fourth proportional to 86,133.88, 129,237.54 and 33,580.36 is: 50,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,133.88 : 129,237.54 = 33,580.36 : x
  2. Step 2: Convert to fraction form
    86,133.88/129,237.54 = 33,580.36/x
  3. Step 3: Cross multiply
    86,133.88x = 129,237.54 × 33,580.36
  4. Step 4: Simplify right side
    86,133.88x = 4,339,843,118.71
  5. Step 5: Solve for x
    x = 4,339,843,118.71/86,133.88
  6. Step 6: Final answer
    x = 50,384.86

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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.