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Finding the Fourth Proportional to 55,672.52, 76,828.32 and 33,316.52

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Solution

The fourth proportional to 55,672.52, 76,828.32 and 33,316.52 is: 45,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,672.52 : 76,828.32 = 33,316.52 : x
  2. Step 2: Convert to fraction form
    55,672.52/76,828.32 = 33,316.52/x
  3. Step 3: Cross multiply
    55,672.52x = 76,828.32 × 33,316.52
  4. Step 4: Simplify right side
    55,672.52x = 2,559,652,259.85
  5. Step 5: Solve for x
    x = 2,559,652,259.85/55,672.52
  6. Step 6: Final answer
    x = 45,976.94

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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.