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Finding the Fourth Proportional to 48,324.84, 72,458.12 and 21,666

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Solution

The fourth proportional to 48,324.84, 72,458.12 and 21,666 is: 32,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,324.84 : 72,458.12 = 21,666 : x
  2. Step 2: Convert to fraction form
    48,324.84/72,458.12 = 21,666/x
  3. Step 3: Cross multiply
    48,324.84x = 72,458.12 × 21,666
  4. Step 4: Simplify right side
    48,324.84x = 1,569,877,627.92
  5. Step 5: Solve for x
    x = 1,569,877,627.92/48,324.84
  6. Step 6: Final answer
    x = 32,485.94

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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.