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Finding the Fourth Proportional to 32,714.70, 49,072.05 and 16,077.30

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Solution

The fourth proportional to 32,714.70, 49,072.05 and 16,077.30 is: 24,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.70 : 49,072.05 = 16,077.30 : x
  2. Step 2: Convert to fraction form
    32,714.70/49,072.05 = 16,077.30/x
  3. Step 3: Cross multiply
    32,714.70x = 49,072.05 × 16,077.30
  4. Step 4: Simplify right side
    32,714.70x = 788,946,069.47
  5. Step 5: Solve for x
    x = 788,946,069.47/32,714.70
  6. Step 6: Final answer
    x = 24,115.95

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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.