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Finding the Fourth Proportional to 32,167.50, 48,247.08 and 9,980.37

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Solution

The fourth proportional to 32,167.50, 48,247.08 and 9,980.37 is: 14,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.50 : 48,247.08 = 9,980.37 : x
  2. Step 2: Convert to fraction form
    32,167.50/48,247.08 = 9,980.37/x
  3. Step 3: Cross multiply
    32,167.50x = 48,247.08 × 9,980.37
  4. Step 4: Simplify right side
    32,167.50x = 481,523,709.82
  5. Step 5: Solve for x
    x = 481,523,709.82/32,167.50
  6. Step 6: Final answer
    x = 14,969.26

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1.5x scale

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.