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Finding the Fourth Proportional to 32,496.54, 48,759.92 and 13,780.99

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Solution

The fourth proportional to 32,496.54, 48,759.92 and 13,780.99 is: 20,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496.54 : 48,759.92 = 13,780.99 : x
  2. Step 2: Convert to fraction form
    32,496.54/48,759.92 = 13,780.99/x
  3. Step 3: Cross multiply
    32,496.54x = 48,759.92 × 13,780.99
  4. Step 4: Simplify right side
    32,496.54x = 671,959,816.89
  5. Step 5: Solve for x
    x = 671,959,816.89/32,496.54
  6. Step 6: Final answer
    x = 20,677.89

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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.