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Finding the Fourth Proportional to 32,153, 48,229.50 and 14,627.84

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Solution

The fourth proportional to 32,153, 48,229.50 and 14,627.84 is: 21,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153 : 48,229.50 = 14,627.84 : x
  2. Step 2: Convert to fraction form
    32,153/48,229.50 = 14,627.84/x
  3. Step 3: Cross multiply
    32,153x = 48,229.50 × 14,627.84
  4. Step 4: Simplify right side
    32,153x = 705,493,409.28
  5. Step 5: Solve for x
    x = 705,493,409.28/32,153
  6. Step 6: Final answer
    x = 21,941.76

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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.