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Finding the Fourth Proportional to 47,359.10, 70,978.32 and 25,183.10

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Solution

The fourth proportional to 47,359.10, 70,978.32 and 25,183.10 is: 37,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,359.10 : 70,978.32 = 25,183.10 : x
  2. Step 2: Convert to fraction form
    47,359.10/70,978.32 = 25,183.10/x
  3. Step 3: Cross multiply
    47,359.10x = 70,978.32 × 25,183.10
  4. Step 4: Simplify right side
    47,359.10x = 1,787,454,130.39
  5. Step 5: Solve for x
    x = 1,787,454,130.39/47,359.10
  6. Step 6: Final answer
    x = 37,742.57

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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.