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Finding the Fourth Proportional to 77,766.06, 107,334.72 and 47,576.55

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Solution

The fourth proportional to 77,766.06, 107,334.72 and 47,576.55 is: 65,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,766.06 : 107,334.72 = 47,576.55 : x
  2. Step 2: Convert to fraction form
    77,766.06/107,334.72 = 47,576.55/x
  3. Step 3: Cross multiply
    77,766.06x = 107,334.72 × 47,576.55
  4. Step 4: Simplify right side
    77,766.06x = 5,106,615,672.82
  5. Step 5: Solve for x
    x = 5,106,615,672.82/77,766.06
  6. Step 6: Final answer
    x = 65,666.38

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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.