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Finding the Fourth Proportional to 32,996.64, 49,489.70 and 9,617.62

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Solution

The fourth proportional to 32,996.64, 49,489.70 and 9,617.62 is: 14,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.64 : 49,489.70 = 9,617.62 : x
  2. Step 2: Convert to fraction form
    32,996.64/49,489.70 = 9,617.62/x
  3. Step 3: Cross multiply
    32,996.64x = 49,489.70 × 9,617.62
  4. Step 4: Simplify right side
    32,996.64x = 475,973,128.51
  5. Step 5: Solve for x
    x = 475,973,128.51/32,996.64
  6. Step 6: Final answer
    x = 14,424.90

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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.