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Finding the Fourth Proportional to 32,077.98, 48,116.76 and 8,704.38

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Solution

The fourth proportional to 32,077.98, 48,116.76 and 8,704.38 is: 13,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.98 : 48,116.76 = 8,704.38 : x
  2. Step 2: Convert to fraction form
    32,077.98/48,116.76 = 8,704.38/x
  3. Step 3: Cross multiply
    32,077.98x = 48,116.76 × 8,704.38
  4. Step 4: Simplify right side
    32,077.98x = 418,826,563.41
  5. Step 5: Solve for x
    x = 418,826,563.41/32,077.98
  6. Step 6: Final answer
    x = 13,056.51

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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.