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Finding the Fourth Proportional to 76,478.88, 114,588.90 and 46,834.83

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Solution

The fourth proportional to 76,478.88, 114,588.90 and 46,834.83 is: 70,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.88 : 114,588.90 = 46,834.83 : x
  2. Step 2: Convert to fraction form
    76,478.88/114,588.90 = 46,834.83/x
  3. Step 3: Cross multiply
    76,478.88x = 114,588.90 × 46,834.83
  4. Step 4: Simplify right side
    76,478.88x = 5,366,751,651.39
  5. Step 5: Solve for x
    x = 5,366,751,651.39/76,478.88
  6. Step 6: Final answer
    x = 70,172.99

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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.