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Finding the Fourth Proportional to 48,324.34, 72,457.37 and 21,665.50

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Solution

The fourth proportional to 48,324.34, 72,457.37 and 21,665.50 is: 32,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,324.34 : 72,457.37 = 21,665.50 : x
  2. Step 2: Convert to fraction form
    48,324.34/72,457.37 = 21,665.50/x
  3. Step 3: Cross multiply
    48,324.34x = 72,457.37 × 21,665.50
  4. Step 4: Simplify right side
    48,324.34x = 1,569,825,149.74
  5. Step 5: Solve for x
    x = 1,569,825,149.74/48,324.34
  6. Step 6: Final answer
    x = 32,485.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.