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Finding the Fourth Proportional to 58,662.84, 87,986.45 and 16,546.30

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Solution

The fourth proportional to 58,662.84, 87,986.45 and 16,546.30 is: 24,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,662.84 : 87,986.45 = 16,546.30 : x
  2. Step 2: Convert to fraction form
    58,662.84/87,986.45 = 16,546.30/x
  3. Step 3: Cross multiply
    58,662.84x = 87,986.45 × 16,546.30
  4. Step 4: Simplify right side
    58,662.84x = 1,455,850,197.64
  5. Step 5: Solve for x
    x = 1,455,850,197.64/58,662.84
  6. Step 6: Final answer
    x = 24,817.25

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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.