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Finding the Fourth Proportional to 32,742.40, 49,072.51 and 14,000.39

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Solution

The fourth proportional to 32,742.40, 49,072.51 and 14,000.39 is: 20,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.40 : 49,072.51 = 14,000.39 : x
  2. Step 2: Convert to fraction form
    32,742.40/49,072.51 = 14,000.39/x
  3. Step 3: Cross multiply
    32,742.40x = 49,072.51 × 14,000.39
  4. Step 4: Simplify right side
    32,742.40x = 687,034,471.10
  5. Step 5: Solve for x
    x = 687,034,471.10/32,742.40
  6. Step 6: Final answer
    x = 20,983.02

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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.