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Finding the Fourth Proportional to 40,507.74, 60,761.70 and 14,206.50

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Solution

The fourth proportional to 40,507.74, 60,761.70 and 14,206.50 is: 21,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,507.74 : 60,761.70 = 14,206.50 : x
  2. Step 2: Convert to fraction form
    40,507.74/60,761.70 = 14,206.50/x
  3. Step 3: Cross multiply
    40,507.74x = 60,761.70 × 14,206.50
  4. Step 4: Simplify right side
    40,507.74x = 863,211,091.05
  5. Step 5: Solve for x
    x = 863,211,091.05/40,507.74
  6. Step 6: Final answer
    x = 21,309.78

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1.5x scale

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.