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Finding the Fourth Proportional to 32,133.80, 48,203.84 and 11,071.02

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Solution

The fourth proportional to 32,133.80, 48,203.84 and 11,071.02 is: 16,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.80 : 48,203.84 = 11,071.02 : x
  2. Step 2: Convert to fraction form
    32,133.80/48,203.84 = 11,071.02/x
  3. Step 3: Cross multiply
    32,133.80x = 48,203.84 × 11,071.02
  4. Step 4: Simplify right side
    32,133.80x = 533,665,676.72
  5. Step 5: Solve for x
    x = 533,665,676.72/32,133.80
  6. Step 6: Final answer
    x = 16,607.61

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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.