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Finding the Fourth Proportional to 76,273.38, 105,140.61 and 53,548.65

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Solution

The fourth proportional to 76,273.38, 105,140.61 and 53,548.65 is: 73,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,273.38 : 105,140.61 = 53,548.65 : x
  2. Step 2: Convert to fraction form
    76,273.38/105,140.61 = 53,548.65/x
  3. Step 3: Cross multiply
    76,273.38x = 105,140.61 × 53,548.65
  4. Step 4: Simplify right side
    76,273.38x = 5,630,137,725.68
  5. Step 5: Solve for x
    x = 5,630,137,725.68/76,273.38
  6. Step 6: Final answer
    x = 73,815.24

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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.