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Finding the Fourth Proportional to 32,503.68, 48,783.96 and 15,876

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Solution

The fourth proportional to 32,503.68, 48,783.96 and 15,876 is: 23,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.68 : 48,783.96 = 15,876 : x
  2. Step 2: Convert to fraction form
    32,503.68/48,783.96 = 15,876/x
  3. Step 3: Cross multiply
    32,503.68x = 48,783.96 × 15,876
  4. Step 4: Simplify right side
    32,503.68x = 774,494,148.96
  5. Step 5: Solve for x
    x = 774,494,148.96/32,503.68
  6. Step 6: Final answer
    x = 23,827.89

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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.