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Finding the Fourth Proportional to 107,379.94, 160,948.38 and 54,678.10

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Solution

The fourth proportional to 107,379.94, 160,948.38 and 54,678.10 is: 81,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,379.94 : 160,948.38 = 54,678.10 : x
  2. Step 2: Convert to fraction form
    107,379.94/160,948.38 = 54,678.10/x
  3. Step 3: Cross multiply
    107,379.94x = 160,948.38 × 54,678.10
  4. Step 4: Simplify right side
    107,379.94x = 8,800,351,616.48
  5. Step 5: Solve for x
    x = 8,800,351,616.48/107,379.94
  6. Step 6: Final answer
    x = 81,955.27

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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.