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Finding the Fourth Proportional to 47,156.88, 70,733.64 and 12,096.88

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Solution

The fourth proportional to 47,156.88, 70,733.64 and 12,096.88 is: 18,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,156.88 : 70,733.64 = 12,096.88 : x
  2. Step 2: Convert to fraction form
    47,156.88/70,733.64 = 12,096.88/x
  3. Step 3: Cross multiply
    47,156.88x = 70,733.64 × 12,096.88
  4. Step 4: Simplify right side
    47,156.88x = 855,656,355.04
  5. Step 5: Solve for x
    x = 855,656,355.04/47,156.88
  6. Step 6: Final answer
    x = 18,144.89

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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.