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Finding the Fourth Proportional to 76,332, 114,546.60 and 34,779

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Solution

The fourth proportional to 76,332, 114,546.60 and 34,779 is: 52,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332 : 114,546.60 = 34,779 : x
  2. Step 2: Convert to fraction form
    76,332/114,546.60 = 34,779/x
  3. Step 3: Cross multiply
    76,332x = 114,546.60 × 34,779
  4. Step 4: Simplify right side
    76,332x = 3,983,816,201.40
  5. Step 5: Solve for x
    x = 3,983,816,201.40/76,332
  6. Step 6: Final answer
    x = 52,190.64

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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.