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Finding the Fourth Proportional to 116,382.65, 174,412.49 and 53,047.96

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Solution

The fourth proportional to 116,382.65, 174,412.49 and 53,047.96 is: 79,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,382.65 : 174,412.49 = 53,047.96 : x
  2. Step 2: Convert to fraction form
    116,382.65/174,412.49 = 53,047.96/x
  3. Step 3: Cross multiply
    116,382.65x = 174,412.49 × 53,047.96
  4. Step 4: Simplify right side
    116,382.65x = 9,252,227,371.21
  5. Step 5: Solve for x
    x = 9,252,227,371.21/116,382.65
  6. Step 6: Final answer
    x = 79,498.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.