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Finding the Fourth Proportional to 96,141.69, 132,674.81 and 53,124

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Solution

The fourth proportional to 96,141.69, 132,674.81 and 53,124 is: 73,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,141.69 : 132,674.81 = 53,124 : x
  2. Step 2: Convert to fraction form
    96,141.69/132,674.81 = 53,124/x
  3. Step 3: Cross multiply
    96,141.69x = 132,674.81 × 53,124
  4. Step 4: Simplify right side
    96,141.69x = 7,048,216,340.82
  5. Step 5: Solve for x
    x = 7,048,216,340.82/96,141.69
  6. Step 6: Final answer
    x = 73,310.72

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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.