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Finding the Fourth Proportional to 77,846.84, 107,476.26 and 50,648.76

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Solution

The fourth proportional to 77,846.84, 107,476.26 and 50,648.76 is: 69,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,846.84 : 107,476.26 = 50,648.76 : x
  2. Step 2: Convert to fraction form
    77,846.84/107,476.26 = 50,648.76/x
  3. Step 3: Cross multiply
    77,846.84x = 107,476.26 × 50,648.76
  4. Step 4: Simplify right side
    77,846.84x = 5,443,539,298.44
  5. Step 5: Solve for x
    x = 5,443,539,298.44/77,846.84
  6. Step 6: Final answer
    x = 69,926.27

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1.5x scale

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.