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Finding the Fourth Proportional to 90,053.14, 124,269.82 and 51,825

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Solution

The fourth proportional to 90,053.14, 124,269.82 and 51,825 is: 71,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,053.14 : 124,269.82 = 51,825 : x
  2. Step 2: Convert to fraction form
    90,053.14/124,269.82 = 51,825/x
  3. Step 3: Cross multiply
    90,053.14x = 124,269.82 × 51,825
  4. Step 4: Simplify right side
    90,053.14x = 6,440,283,421.50
  5. Step 5: Solve for x
    x = 6,440,283,421.50/90,053.14
  6. Step 6: Final answer
    x = 71,516.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.