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Finding the Fourth Proportional to 77,659.94, 116,416.09 and 49,500.95

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Solution

The fourth proportional to 77,659.94, 116,416.09 and 49,500.95 is: 74,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.94 : 116,416.09 = 49,500.95 : x
  2. Step 2: Convert to fraction form
    77,659.94/116,416.09 = 49,500.95/x
  3. Step 3: Cross multiply
    77,659.94x = 116,416.09 × 49,500.95
  4. Step 4: Simplify right side
    77,659.94x = 5,762,706,579.06
  5. Step 5: Solve for x
    x = 5,762,706,579.06/77,659.94
  6. Step 6: Final answer
    x = 74,204.37

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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.