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Finding the Fourth Proportional to 56,898.70, 78,546.78 and 33,020.76

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Solution

The fourth proportional to 56,898.70, 78,546.78 and 33,020.76 is: 45,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,898.70 : 78,546.78 = 33,020.76 : x
  2. Step 2: Convert to fraction form
    56,898.70/78,546.78 = 33,020.76/x
  3. Step 3: Cross multiply
    56,898.70x = 78,546.78 × 33,020.76
  4. Step 4: Simplify right side
    56,898.70x = 2,593,674,371.15
  5. Step 5: Solve for x
    x = 2,593,674,371.15/56,898.70
  6. Step 6: Final answer
    x = 45,584.07

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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.