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Finding the Fourth Proportional to 47,157.38, 70,734.38 and 12,097.38

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Solution

The fourth proportional to 47,157.38, 70,734.38 and 12,097.38 is: 18,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,157.38 : 70,734.38 = 12,097.38 : x
  2. Step 2: Convert to fraction form
    47,157.38/70,734.38 = 12,097.38/x
  3. Step 3: Cross multiply
    47,157.38x = 70,734.38 × 12,097.38
  4. Step 4: Simplify right side
    47,157.38x = 855,700,673.92
  5. Step 5: Solve for x
    x = 855,700,673.92/47,157.38
  6. Step 6: Final answer
    x = 18,145.64

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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.