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Finding the Fourth Proportional to 75,340.50, 103,974.75 and 41,806.50

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Solution

The fourth proportional to 75,340.50, 103,974.75 and 41,806.50 is: 57,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.50 : 103,974.75 = 41,806.50 : x
  2. Step 2: Convert to fraction form
    75,340.50/103,974.75 = 41,806.50/x
  3. Step 3: Cross multiply
    75,340.50x = 103,974.75 × 41,806.50
  4. Step 4: Simplify right side
    75,340.50x = 4,346,820,385.88
  5. Step 5: Solve for x
    x = 4,346,820,385.88/75,340.50
  6. Step 6: Final answer
    x = 57,695.67

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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.