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Finding the Fourth Proportional to 77,780.68, 116,695.38 and 27,859.84

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Solution

The fourth proportional to 77,780.68, 116,695.38 and 27,859.84 is: 41,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,780.68 : 116,695.38 = 27,859.84 : x
  2. Step 2: Convert to fraction form
    77,780.68/116,695.38 = 27,859.84/x
  3. Step 3: Cross multiply
    77,780.68x = 116,695.38 × 27,859.84
  4. Step 4: Simplify right side
    77,780.68x = 3,251,114,615.54
  5. Step 5: Solve for x
    x = 3,251,114,615.54/77,780.68
  6. Step 6: Final answer
    x = 41,798.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.