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Finding the Fourth Proportional to 47,063.01, 70,594.05 and 11,524.50

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Solution

The fourth proportional to 47,063.01, 70,594.05 and 11,524.50 is: 17,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,063.01 : 70,594.05 = 11,524.50 : x
  2. Step 2: Convert to fraction form
    47,063.01/70,594.05 = 11,524.50/x
  3. Step 3: Cross multiply
    47,063.01x = 70,594.05 × 11,524.50
  4. Step 4: Simplify right side
    47,063.01x = 813,561,129.23
  5. Step 5: Solve for x
    x = 813,561,129.23/47,063.01
  6. Step 6: Final answer
    x = 17,286.64

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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.