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Finding the Fourth Proportional to 32,160.40, 48,223.24 and 9,964.24

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Solution

The fourth proportional to 32,160.40, 48,223.24 and 9,964.24 is: 14,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.40 : 48,223.24 = 9,964.24 : x
  2. Step 2: Convert to fraction form
    32,160.40/48,223.24 = 9,964.24/x
  3. Step 3: Cross multiply
    32,160.40x = 48,223.24 × 9,964.24
  4. Step 4: Simplify right side
    32,160.40x = 480,507,936.94
  5. Step 5: Solve for x
    x = 480,507,936.94/32,160.40
  6. Step 6: Final answer
    x = 14,940.98

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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.