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Finding the Fourth Proportional to 32,512.28, 48,762.89 and 9,133.25

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Solution

The fourth proportional to 32,512.28, 48,762.89 and 9,133.25 is: 13,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512.28 : 48,762.89 = 9,133.25 : x
  2. Step 2: Convert to fraction form
    32,512.28/48,762.89 = 9,133.25/x
  3. Step 3: Cross multiply
    32,512.28x = 48,762.89 × 9,133.25
  4. Step 4: Simplify right side
    32,512.28x = 445,363,619.43
  5. Step 5: Solve for x
    x = 445,363,619.43/32,512.28
  6. Step 6: Final answer
    x = 13,698.32

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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.