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Finding the Fourth Proportional to 29,657.62, 40,927.50 and 16,228.86

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Solution

The fourth proportional to 29,657.62, 40,927.50 and 16,228.86 is: 22,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.62 : 40,927.50 = 16,228.86 : x
  2. Step 2: Convert to fraction form
    29,657.62/40,927.50 = 16,228.86/x
  3. Step 3: Cross multiply
    29,657.62x = 40,927.50 × 16,228.86
  4. Step 4: Simplify right side
    29,657.62x = 664,206,905.14
  5. Step 5: Solve for x
    x = 664,206,905.14/29,657.62
  6. Step 6: Final answer
    x = 22,395.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.