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Finding the Fourth Proportional to 75,676.94, 104,431.74 and 45,049.92

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Solution

The fourth proportional to 75,676.94, 104,431.74 and 45,049.92 is: 62,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,676.94 : 104,431.74 = 45,049.92 : x
  2. Step 2: Convert to fraction form
    75,676.94/104,431.74 = 45,049.92/x
  3. Step 3: Cross multiply
    75,676.94x = 104,431.74 × 45,049.92
  4. Step 4: Simplify right side
    75,676.94x = 4,704,641,532.46
  5. Step 5: Solve for x
    x = 4,704,641,532.46/75,676.94
  6. Step 6: Final answer
    x = 62,167.44

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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.