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Finding the Fourth Proportional to 77,819.61, 116,542.29 and 44,438.50

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Solution

The fourth proportional to 77,819.61, 116,542.29 and 44,438.50 is: 66,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,819.61 : 116,542.29 = 44,438.50 : x
  2. Step 2: Convert to fraction form
    77,819.61/116,542.29 = 44,438.50/x
  3. Step 3: Cross multiply
    77,819.61x = 116,542.29 × 44,438.50
  4. Step 4: Simplify right side
    77,819.61x = 5,178,964,554.17
  5. Step 5: Solve for x
    x = 5,178,964,554.17/77,819.61
  6. Step 6: Final answer
    x = 66,550.89

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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.