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Finding the Fourth Proportional to 32,903.20, 49,351.15 and 9,529.64

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Solution

The fourth proportional to 32,903.20, 49,351.15 and 9,529.64 is: 14,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.20 : 49,351.15 = 9,529.64 : x
  2. Step 2: Convert to fraction form
    32,903.20/49,351.15 = 9,529.64/x
  3. Step 3: Cross multiply
    32,903.20x = 49,351.15 × 9,529.64
  4. Step 4: Simplify right side
    32,903.20x = 470,298,693.09
  5. Step 5: Solve for x
    x = 470,298,693.09/32,903.20
  6. Step 6: Final answer
    x = 14,293.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.