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Finding the Fourth Proportional to 86,145.69, 129,193.58 and 33,543.45

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Solution

The fourth proportional to 86,145.69, 129,193.58 and 33,543.45 is: 50,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,145.69 : 129,193.58 = 33,543.45 : x
  2. Step 2: Convert to fraction form
    86,145.69/129,193.58 = 33,543.45/x
  3. Step 3: Cross multiply
    86,145.69x = 129,193.58 × 33,543.45
  4. Step 4: Simplify right side
    86,145.69x = 4,333,598,223.33
  5. Step 5: Solve for x
    x = 4,333,598,223.33/86,145.69
  6. Step 6: Final answer
    x = 50,305.46

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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.