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Finding the Fourth Proportional to 75,342.40, 112,941.60 and 27,944.80

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Solution

The fourth proportional to 75,342.40, 112,941.60 and 27,944.80 is: 41,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,342.40 : 112,941.60 = 27,944.80 : x
  2. Step 2: Convert to fraction form
    75,342.40/112,941.60 = 27,944.80/x
  3. Step 3: Cross multiply
    75,342.40x = 112,941.60 × 27,944.80
  4. Step 4: Simplify right side
    75,342.40x = 3,156,130,423.68
  5. Step 5: Solve for x
    x = 3,156,130,423.68/75,342.40
  6. Step 6: Final answer
    x = 41,890.49

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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.