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Finding the Fourth Proportional to 32,745.12, 49,100.64 and 11,677.20

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Solution

The fourth proportional to 32,745.12, 49,100.64 and 11,677.20 is: 17,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.12 : 49,100.64 = 11,677.20 : x
  2. Step 2: Convert to fraction form
    32,745.12/49,100.64 = 11,677.20/x
  3. Step 3: Cross multiply
    32,745.12x = 49,100.64 × 11,677.20
  4. Step 4: Simplify right side
    32,745.12x = 573,357,993.41
  5. Step 5: Solve for x
    x = 573,357,993.41/32,745.12
  6. Step 6: Final answer
    x = 17,509.72

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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.