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Finding the Fourth Proportional to 77,819.42, 116,765.58 and 38,355.02

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Solution

The fourth proportional to 77,819.42, 116,765.58 and 38,355.02 is: 57,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,819.42 : 116,765.58 = 38,355.02 : x
  2. Step 2: Convert to fraction form
    77,819.42/116,765.58 = 38,355.02/x
  3. Step 3: Cross multiply
    77,819.42x = 116,765.58 × 38,355.02
  4. Step 4: Simplify right side
    77,819.42x = 4,478,546,156.21
  5. Step 5: Solve for x
    x = 4,478,546,156.21/77,819.42
  6. Step 6: Final answer
    x = 57,550.50

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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.