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Finding the Fourth Proportional to 43,121.40, 64,682.10 and 31,457.40

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Solution

The fourth proportional to 43,121.40, 64,682.10 and 31,457.40 is: 47,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,121.40 : 64,682.10 = 31,457.40 : x
  2. Step 2: Convert to fraction form
    43,121.40/64,682.10 = 31,457.40/x
  3. Step 3: Cross multiply
    43,121.40x = 64,682.10 × 31,457.40
  4. Step 4: Simplify right side
    43,121.40x = 2,034,730,692.54
  5. Step 5: Solve for x
    x = 2,034,730,692.54/43,121.40
  6. Step 6: Final answer
    x = 47,186.10

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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.