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Finding the Fourth Proportional to 33,780.80, 50,656.62 and 10,402.04

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Solution

The fourth proportional to 33,780.80, 50,656.62 and 10,402.04 is: 15,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,780.80 : 50,656.62 = 10,402.04 : x
  2. Step 2: Convert to fraction form
    33,780.80/50,656.62 = 10,402.04/x
  3. Step 3: Cross multiply
    33,780.80x = 50,656.62 × 10,402.04
  4. Step 4: Simplify right side
    33,780.80x = 526,932,187.50
  5. Step 5: Solve for x
    x = 526,932,187.50/33,780.80
  6. Step 6: Final answer
    x = 15,598.57

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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.