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Finding the Fourth Proportional to 76,975.78, 115,374.03 and 32,587.78

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Solution

The fourth proportional to 76,975.78, 115,374.03 and 32,587.78 is: 48,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,975.78 : 115,374.03 = 32,587.78 : x
  2. Step 2: Convert to fraction form
    76,975.78/115,374.03 = 32,587.78/x
  3. Step 3: Cross multiply
    76,975.78x = 115,374.03 × 32,587.78
  4. Step 4: Simplify right side
    76,975.78x = 3,759,783,507.35
  5. Step 5: Solve for x
    x = 3,759,783,507.35/76,975.78
  6. Step 6: Final answer
    x = 48,843.72

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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.