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Finding the Fourth Proportional to 77,425.76, 115,941.72 and 51,050.54

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Solution

The fourth proportional to 77,425.76, 115,941.72 and 51,050.54 is: 76,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,425.76 : 115,941.72 = 51,050.54 : x
  2. Step 2: Convert to fraction form
    77,425.76/115,941.72 = 51,050.54/x
  3. Step 3: Cross multiply
    77,425.76x = 115,941.72 × 51,050.54
  4. Step 4: Simplify right side
    77,425.76x = 5,918,887,414.53
  5. Step 5: Solve for x
    x = 5,918,887,414.53/77,425.76
  6. Step 6: Final answer
    x = 76,445.97

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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.