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Finding the Fourth Proportional to 77,568.76, 116,353.52 and 30,821.52

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Solution

The fourth proportional to 77,568.76, 116,353.52 and 30,821.52 is: 46,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568.76 : 116,353.52 = 30,821.52 : x
  2. Step 2: Convert to fraction form
    77,568.76/116,353.52 = 30,821.52/x
  3. Step 3: Cross multiply
    77,568.76x = 116,353.52 × 30,821.52
  4. Step 4: Simplify right side
    77,568.76x = 3,586,192,343.75
  5. Step 5: Solve for x
    x = 3,586,192,343.75/77,568.76
  6. Step 6: Final answer
    x = 46,232.43

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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.