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Finding the Fourth Proportional to 32,503.54, 48,770.40 and 13,787.98

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Solution

The fourth proportional to 32,503.54, 48,770.40 and 13,787.98 is: 20,688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.54 : 48,770.40 = 13,787.98 : x
  2. Step 2: Convert to fraction form
    32,503.54/48,770.40 = 13,787.98/x
  3. Step 3: Cross multiply
    32,503.54x = 48,770.40 × 13,787.98
  4. Step 4: Simplify right side
    32,503.54x = 672,445,299.79
  5. Step 5: Solve for x
    x = 672,445,299.79/32,503.54
  6. Step 6: Final answer
    x = 20,688.37

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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.