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Finding the Fourth Proportional to 75,249, 103,846.86 and 41,715

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Solution

The fourth proportional to 75,249, 103,846.86 and 41,715 is: 57,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,249 : 103,846.86 = 41,715 : x
  2. Step 2: Convert to fraction form
    75,249/103,846.86 = 41,715/x
  3. Step 3: Cross multiply
    75,249x = 103,846.86 × 41,715
  4. Step 4: Simplify right side
    75,249x = 4,331,971,764.90
  5. Step 5: Solve for x
    x = 4,331,971,764.90/75,249
  6. Step 6: Final answer
    x = 57,568.50

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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.