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Finding the Fourth Proportional to 75,188.50, 103,761.39 and 41,196.40

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Solution

The fourth proportional to 75,188.50, 103,761.39 and 41,196.40 is: 56,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188.50 : 103,761.39 = 41,196.40 : x
  2. Step 2: Convert to fraction form
    75,188.50/103,761.39 = 41,196.40/x
  3. Step 3: Cross multiply
    75,188.50x = 103,761.39 × 41,196.40
  4. Step 4: Simplify right side
    75,188.50x = 4,274,595,727.00
  5. Step 5: Solve for x
    x = 4,274,595,727.00/75,188.50
  6. Step 6: Final answer
    x = 56,851.72

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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.