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Finding the Fourth Proportional to 48,323.34, 72,455.87 and 21,664.50

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Solution

The fourth proportional to 48,323.34, 72,455.87 and 21,664.50 is: 32,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,323.34 : 72,455.87 = 21,664.50 : x
  2. Step 2: Convert to fraction form
    48,323.34/72,455.87 = 21,664.50/x
  3. Step 3: Cross multiply
    48,323.34x = 72,455.87 × 21,664.50
  4. Step 4: Simplify right side
    48,323.34x = 1,569,720,249.78
  5. Step 5: Solve for x
    x = 1,569,720,249.78/48,323.34
  6. Step 6: Final answer
    x = 32,483.69

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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.