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Finding the Fourth Proportional to 32,016.84, 48,037.86 and 16,213.20

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Solution

The fourth proportional to 32,016.84, 48,037.86 and 16,213.20 is: 24,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.84 : 48,037.86 = 16,213.20 : x
  2. Step 2: Convert to fraction form
    32,016.84/48,037.86 = 16,213.20/x
  3. Step 3: Cross multiply
    32,016.84x = 48,037.86 × 16,213.20
  4. Step 4: Simplify right side
    32,016.84x = 778,847,431.75
  5. Step 5: Solve for x
    x = 778,847,431.75/32,016.84
  6. Step 6: Final answer
    x = 24,326.18

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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.