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Finding the Fourth Proportional to 47,596.65, 65,683.38 and 26,087.25

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Solution

The fourth proportional to 47,596.65, 65,683.38 and 26,087.25 is: 36,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,596.65 : 65,683.38 = 26,087.25 : x
  2. Step 2: Convert to fraction form
    47,596.65/65,683.38 = 26,087.25/x
  3. Step 3: Cross multiply
    47,596.65x = 65,683.38 × 26,087.25
  4. Step 4: Simplify right side
    47,596.65x = 1,713,498,754.91
  5. Step 5: Solve for x
    x = 1,713,498,754.91/47,596.65
  6. Step 6: Final answer
    x = 36,000.41

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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.