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Finding the Fourth Proportional to 32,123.60, 48,193.80 and 12,402.80

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Solution

The fourth proportional to 32,123.60, 48,193.80 and 12,402.80 is: 18,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.60 : 48,193.80 = 12,402.80 : x
  2. Step 2: Convert to fraction form
    32,123.60/48,193.80 = 12,402.80/x
  3. Step 3: Cross multiply
    32,123.60x = 48,193.80 × 12,402.80
  4. Step 4: Simplify right side
    32,123.60x = 597,738,062.64
  5. Step 5: Solve for x
    x = 597,738,062.64/32,123.60
  6. Step 6: Final answer
    x = 18,607.44

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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.