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Finding the Fourth Proportional to 116,714.86, 175,078.49 and 36,759.08

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Solution

The fourth proportional to 116,714.86, 175,078.49 and 36,759.08 is: 55,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714.86 : 175,078.49 = 36,759.08 : x
  2. Step 2: Convert to fraction form
    116,714.86/175,078.49 = 36,759.08/x
  3. Step 3: Cross multiply
    116,714.86x = 175,078.49 × 36,759.08
  4. Step 4: Simplify right side
    116,714.86x = 6,435,724,220.19
  5. Step 5: Solve for x
    x = 6,435,724,220.19/116,714.86
  6. Step 6: Final answer
    x = 55,140.57

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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.