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Finding the Fourth Proportional to 51,289.78, 70,783.46 and 28,633.23

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Solution

The fourth proportional to 51,289.78, 70,783.46 and 28,633.23 is: 39,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,289.78 : 70,783.46 = 28,633.23 : x
  2. Step 2: Convert to fraction form
    51,289.78/70,783.46 = 28,633.23/x
  3. Step 3: Cross multiply
    51,289.78x = 70,783.46 × 28,633.23
  4. Step 4: Simplify right side
    51,289.78x = 2,026,759,090.38
  5. Step 5: Solve for x
    x = 2,026,759,090.38/51,289.78
  6. Step 6: Final answer
    x = 39,515.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.