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Finding the Fourth Proportional to 77,330.24, 116,006.88 and 35,781.44

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Solution

The fourth proportional to 77,330.24, 116,006.88 and 35,781.44 is: 53,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,330.24 : 116,006.88 = 35,781.44 : x
  2. Step 2: Convert to fraction form
    77,330.24/116,006.88 = 35,781.44/x
  3. Step 3: Cross multiply
    77,330.24x = 116,006.88 × 35,781.44
  4. Step 4: Simplify right side
    77,330.24x = 4,150,893,216.31
  5. Step 5: Solve for x
    x = 4,150,893,216.31/77,330.24
  6. Step 6: Final answer
    x = 53,677.49

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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.