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Finding the Fourth Proportional to 32,509.28, 48,763.92 and 11,444.36

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Solution

The fourth proportional to 32,509.28, 48,763.92 and 11,444.36 is: 17,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.28 : 48,763.92 = 11,444.36 : x
  2. Step 2: Convert to fraction form
    32,509.28/48,763.92 = 11,444.36/x
  3. Step 3: Cross multiply
    32,509.28x = 48,763.92 × 11,444.36
  4. Step 4: Simplify right side
    32,509.28x = 558,071,855.49
  5. Step 5: Solve for x
    x = 558,071,855.49/32,509.28
  6. Step 6: Final answer
    x = 17,166.54

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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.