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Finding the Fourth Proportional to 35,412.85, 53,123.17 and 11,711.76

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Solution

The fourth proportional to 35,412.85, 53,123.17 and 11,711.76 is: 17,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412.85 : 53,123.17 = 11,711.76 : x
  2. Step 2: Convert to fraction form
    35,412.85/53,123.17 = 11,711.76/x
  3. Step 3: Cross multiply
    35,412.85x = 53,123.17 × 11,711.76
  4. Step 4: Simplify right side
    35,412.85x = 622,166,063.29
  5. Step 5: Solve for x
    x = 622,166,063.29/35,412.85
  6. Step 6: Final answer
    x = 17,568.93

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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.