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Finding the Fourth Proportional to 77,659.91, 116,483.71 and 27,734.80

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Solution

The fourth proportional to 77,659.91, 116,483.71 and 27,734.80 is: 41,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.91 : 116,483.71 = 27,734.80 : x
  2. Step 2: Convert to fraction form
    77,659.91/116,483.71 = 27,734.80/x
  3. Step 3: Cross multiply
    77,659.91x = 116,483.71 × 27,734.80
  4. Step 4: Simplify right side
    77,659.91x = 3,230,652,400.11
  5. Step 5: Solve for x
    x = 3,230,652,400.11/77,659.91
  6. Step 6: Final answer
    x = 41,600.00

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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.