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Finding the Fourth Proportional to 70,527.20, 105,790.32 and 17,936

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Solution

The fourth proportional to 70,527.20, 105,790.32 and 17,936 is: 26,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,527.20 : 105,790.32 = 17,936 : x
  2. Step 2: Convert to fraction form
    70,527.20/105,790.32 = 17,936/x
  3. Step 3: Cross multiply
    70,527.20x = 105,790.32 × 17,936
  4. Step 4: Simplify right side
    70,527.20x = 1,897,455,179.52
  5. Step 5: Solve for x
    x = 1,897,455,179.52/70,527.20
  6. Step 6: Final answer
    x = 26,903.88

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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.