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Finding the Fourth Proportional to 37,679.50, 56,523.12 and 9,977.50

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Solution

The fourth proportional to 37,679.50, 56,523.12 and 9,977.50 is: 14,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679.50 : 56,523.12 = 9,977.50 : x
  2. Step 2: Convert to fraction form
    37,679.50/56,523.12 = 9,977.50/x
  3. Step 3: Cross multiply
    37,679.50x = 56,523.12 × 9,977.50
  4. Step 4: Simplify right side
    37,679.50x = 563,959,429.80
  5. Step 5: Solve for x
    x = 563,959,429.80/37,679.50
  6. Step 6: Final answer
    x = 14,967.27

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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.