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Finding the Fourth Proportional to 32,468.28, 48,702.72 and 12,748.80

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Solution

The fourth proportional to 32,468.28, 48,702.72 and 12,748.80 is: 19,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.28 : 48,702.72 = 12,748.80 : x
  2. Step 2: Convert to fraction form
    32,468.28/48,702.72 = 12,748.80/x
  3. Step 3: Cross multiply
    32,468.28x = 48,702.72 × 12,748.80
  4. Step 4: Simplify right side
    32,468.28x = 620,901,236.74
  5. Step 5: Solve for x
    x = 620,901,236.74/32,468.28
  6. Step 6: Final answer
    x = 19,123.32

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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.