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Finding the Fourth Proportional to 71,649.63, 107,476.83 and 32,206.85

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Solution

The fourth proportional to 71,649.63, 107,476.83 and 32,206.85 is: 48,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649.63 : 107,476.83 = 32,206.85 : x
  2. Step 2: Convert to fraction form
    71,649.63/107,476.83 = 32,206.85/x
  3. Step 3: Cross multiply
    71,649.63x = 107,476.83 × 32,206.85
  4. Step 4: Simplify right side
    71,649.63x = 3,461,490,410.98
  5. Step 5: Solve for x
    x = 3,461,490,410.98/71,649.63
  6. Step 6: Final answer
    x = 48,311.35

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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.