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Finding the Fourth Proportional to 36,457.48, 54,623.22 and 28,468

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Solution

The fourth proportional to 36,457.48, 54,623.22 and 28,468 is: 42,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,457.48 : 54,623.22 = 28,468 : x
  2. Step 2: Convert to fraction form
    36,457.48/54,623.22 = 28,468/x
  3. Step 3: Cross multiply
    36,457.48x = 54,623.22 × 28,468
  4. Step 4: Simplify right side
    36,457.48x = 1,555,013,826.96
  5. Step 5: Solve for x
    x = 1,555,013,826.96/36,457.48
  6. Step 6: Final answer
    x = 42,652.81

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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.