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Finding the Fourth Proportional to 51,768.99, 77,598.12 and 26,783.88

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Solution

The fourth proportional to 51,768.99, 77,598.12 and 26,783.88 is: 40,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768.99 : 77,598.12 = 26,783.88 : x
  2. Step 2: Convert to fraction form
    51,768.99/77,598.12 = 26,783.88/x
  3. Step 3: Cross multiply
    51,768.99x = 77,598.12 × 26,783.88
  4. Step 4: Simplify right side
    51,768.99x = 2,078,378,734.31
  5. Step 5: Solve for x
    x = 2,078,378,734.31/51,768.99
  6. Step 6: Final answer
    x = 40,147.18

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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.