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Finding the Fourth Proportional to 35,627.80, 53,432.10 and 10,667.80

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Solution

The fourth proportional to 35,627.80, 53,432.10 and 10,667.80 is: 15,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,627.80 : 53,432.10 = 10,667.80 : x
  2. Step 2: Convert to fraction form
    35,627.80/53,432.10 = 10,667.80/x
  3. Step 3: Cross multiply
    35,627.80x = 53,432.10 × 10,667.80
  4. Step 4: Simplify right side
    35,627.80x = 570,002,956.38
  5. Step 5: Solve for x
    x = 570,002,956.38/35,627.80
  6. Step 6: Final answer
    x = 15,998.83

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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.