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Finding the Fourth Proportional to 32,487.45, 48,725.02 and 13,780.77

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Solution

The fourth proportional to 32,487.45, 48,725.02 and 13,780.77 is: 20,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,487.45 : 48,725.02 = 13,780.77 : x
  2. Step 2: Convert to fraction form
    32,487.45/48,725.02 = 13,780.77/x
  3. Step 3: Cross multiply
    32,487.45x = 48,725.02 × 13,780.77
  4. Step 4: Simplify right side
    32,487.45x = 671,468,293.87
  5. Step 5: Solve for x
    x = 671,468,293.87/32,487.45
  6. Step 6: Final answer
    x = 20,668.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.