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Finding the Fourth Proportional to 60,144.48, 82,999.54 and 33,288.84

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Solution

The fourth proportional to 60,144.48, 82,999.54 and 33,288.84 is: 45,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,144.48 : 82,999.54 = 33,288.84 : x
  2. Step 2: Convert to fraction form
    60,144.48/82,999.54 = 33,288.84/x
  3. Step 3: Cross multiply
    60,144.48x = 82,999.54 × 33,288.84
  4. Step 4: Simplify right side
    60,144.48x = 2,762,958,407.13
  5. Step 5: Solve for x
    x = 2,762,958,407.13/60,144.48
  6. Step 6: Final answer
    x = 45,938.69

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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.