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Finding the Fourth Proportional to 77,819.17, 116,765.21 and 38,354.76

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Solution

The fourth proportional to 77,819.17, 116,765.21 and 38,354.76 is: 57,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,819.17 : 116,765.21 = 38,354.76 : x
  2. Step 2: Convert to fraction form
    77,819.17/116,765.21 = 38,354.76/x
  3. Step 3: Cross multiply
    77,819.17x = 116,765.21 × 38,354.76
  4. Step 4: Simplify right side
    77,819.17x = 4,478,501,605.90
  5. Step 5: Solve for x
    x = 4,478,501,605.90/77,819.17
  6. Step 6: Final answer
    x = 57,550.11

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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.