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Finding the Fourth Proportional to 32,150, 48,225 and 14,624.84

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Solution

The fourth proportional to 32,150, 48,225 and 14,624.84 is: 21,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150 : 48,225 = 14,624.84 : x
  2. Step 2: Convert to fraction form
    32,150/48,225 = 14,624.84/x
  3. Step 3: Cross multiply
    32,150x = 48,225 × 14,624.84
  4. Step 4: Simplify right side
    32,150x = 705,282,909
  5. Step 5: Solve for x
    x = 705,282,909/32,150
  6. Step 6: Final answer
    x = 21,937.26

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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.