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Finding the Fourth Proportional to 59,821.60, 89,764.80 and 26,546.80

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Solution

The fourth proportional to 59,821.60, 89,764.80 and 26,546.80 is: 39,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,821.60 : 89,764.80 = 26,546.80 : x
  2. Step 2: Convert to fraction form
    59,821.60/89,764.80 = 26,546.80/x
  3. Step 3: Cross multiply
    59,821.60x = 89,764.80 × 26,546.80
  4. Step 4: Simplify right side
    59,821.60x = 2,382,968,192.64
  5. Step 5: Solve for x
    x = 2,382,968,192.64/59,821.60
  6. Step 6: Final answer
    x = 39,834.58

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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.