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Finding the Fourth Proportional to 47,232.50, 70,846.38 and 11,693.61

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Solution

The fourth proportional to 47,232.50, 70,846.38 and 11,693.61 is: 17,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,232.50 : 70,846.38 = 11,693.61 : x
  2. Step 2: Convert to fraction form
    47,232.50/70,846.38 = 11,693.61/x
  3. Step 3: Cross multiply
    47,232.50x = 70,846.38 × 11,693.61
  4. Step 4: Simplify right side
    47,232.50x = 828,449,937.63
  5. Step 5: Solve for x
    x = 828,449,937.63/47,232.50
  6. Step 6: Final answer
    x = 17,539.83

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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.