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Finding the Fourth Proportional to 32,017.68, 47,986.12 and 16,226.68

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Solution

The fourth proportional to 32,017.68, 47,986.12 and 16,226.68 is: 24,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.68 : 47,986.12 = 16,226.68 : x
  2. Step 2: Convert to fraction form
    32,017.68/47,986.12 = 16,226.68/x
  3. Step 3: Cross multiply
    32,017.68x = 47,986.12 × 16,226.68
  4. Step 4: Simplify right side
    32,017.68x = 778,655,403.97
  5. Step 5: Solve for x
    x = 778,655,403.97/32,017.68
  6. Step 6: Final answer
    x = 24,319.54

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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.