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Finding the Fourth Proportional to 51,959.53, 77,959.88 and 27,015.31

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Solution

The fourth proportional to 51,959.53, 77,959.88 and 27,015.31 is: 40,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,959.53 : 77,959.88 = 27,015.31 : x
  2. Step 2: Convert to fraction form
    51,959.53/77,959.88 = 27,015.31/x
  3. Step 3: Cross multiply
    51,959.53x = 77,959.88 × 27,015.31
  4. Step 4: Simplify right side
    51,959.53x = 2,106,110,325.76
  5. Step 5: Solve for x
    x = 2,106,110,325.76/51,959.53
  6. Step 6: Final answer
    x = 40,533.67

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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.