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Finding the Fourth Proportional to 76,975.28, 115,373.28 and 32,587.28

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Solution

The fourth proportional to 76,975.28, 115,373.28 and 32,587.28 is: 48,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,975.28 : 115,373.28 = 32,587.28 : x
  2. Step 2: Convert to fraction form
    76,975.28/115,373.28 = 32,587.28/x
  3. Step 3: Cross multiply
    76,975.28x = 115,373.28 × 32,587.28
  4. Step 4: Simplify right side
    76,975.28x = 3,759,701,379.88
  5. Step 5: Solve for x
    x = 3,759,701,379.88/76,975.28
  6. Step 6: Final answer
    x = 48,842.97

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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.