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Finding the Fourth Proportional to 32,197.86, 48,299.86 and 10,005.26

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Solution

The fourth proportional to 32,197.86, 48,299.86 and 10,005.26 is: 15,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.86 : 48,299.86 = 10,005.26 : x
  2. Step 2: Convert to fraction form
    32,197.86/48,299.86 = 10,005.26/x
  3. Step 3: Cross multiply
    32,197.86x = 48,299.86 × 10,005.26
  4. Step 4: Simplify right side
    32,197.86x = 483,252,657.26
  5. Step 5: Solve for x
    x = 483,252,657.26/32,197.86
  6. Step 6: Final answer
    x = 15,008.84

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1.5x scale

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.