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Finding the Fourth Proportional to 32,905.84, 49,358.64 and 9,532.24

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Solution

The fourth proportional to 32,905.84, 49,358.64 and 9,532.24 is: 14,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.84 : 49,358.64 = 9,532.24 : x
  2. Step 2: Convert to fraction form
    32,905.84/49,358.64 = 9,532.24/x
  3. Step 3: Cross multiply
    32,905.84x = 49,358.64 × 9,532.24
  4. Step 4: Simplify right side
    32,905.84x = 470,498,402.55
  5. Step 5: Solve for x
    x = 470,498,402.55/32,905.84
  6. Step 6: Final answer
    x = 14,298.33

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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.