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Finding the Fourth Proportional to 32,982.64, 49,482.12 and 9,609.28

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Solution

The fourth proportional to 32,982.64, 49,482.12 and 9,609.28 is: 14,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.64 : 49,482.12 = 9,609.28 : x
  2. Step 2: Convert to fraction form
    32,982.64/49,482.12 = 9,609.28/x
  3. Step 3: Cross multiply
    32,982.64x = 49,482.12 × 9,609.28
  4. Step 4: Simplify right side
    32,982.64x = 475,487,546.07
  5. Step 5: Solve for x
    x = 475,487,546.07/32,982.64
  6. Step 6: Final answer
    x = 14,416.30

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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.