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Finding the Fourth Proportional to 64,826, 89,457.64 and 36,530

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Solution

The fourth proportional to 64,826, 89,457.64 and 36,530 is: 50,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,826 : 89,457.64 = 36,530 : x
  2. Step 2: Convert to fraction form
    64,826/89,457.64 = 36,530/x
  3. Step 3: Cross multiply
    64,826x = 89,457.64 × 36,530
  4. Step 4: Simplify right side
    64,826x = 3,267,887,589.20
  5. Step 5: Solve for x
    x = 3,267,887,589.20/64,826
  6. Step 6: Final answer
    x = 50,410.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.