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Finding the Fourth Proportional to 32,428.76, 48,636.05 and 12,431.48

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Solution

The fourth proportional to 32,428.76, 48,636.05 and 12,431.48 is: 18,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.76 : 48,636.05 = 12,431.48 : x
  2. Step 2: Convert to fraction form
    32,428.76/48,636.05 = 12,431.48/x
  3. Step 3: Cross multiply
    32,428.76x = 48,636.05 × 12,431.48
  4. Step 4: Simplify right side
    32,428.76x = 604,617,777.52
  5. Step 5: Solve for x
    x = 604,617,777.52/32,428.76
  6. Step 6: Final answer
    x = 18,644.50

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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.