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Finding the Fourth Proportional to 76,150.50, 114,265.71 and 31,205.22

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Solution

The fourth proportional to 76,150.50, 114,265.71 and 31,205.22 is: 46,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,150.50 : 114,265.71 = 31,205.22 : x
  2. Step 2: Convert to fraction form
    76,150.50/114,265.71 = 31,205.22/x
  3. Step 3: Cross multiply
    76,150.50x = 114,265.71 × 31,205.22
  4. Step 4: Simplify right side
    76,150.50x = 3,565,686,619.01
  5. Step 5: Solve for x
    x = 3,565,686,619.01/76,150.50
  6. Step 6: Final answer
    x = 46,824.20

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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.