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Finding the Fourth Proportional to 77,300.78, 115,949.70 and 24,710.27

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Solution

The fourth proportional to 77,300.78, 115,949.70 and 24,710.27 is: 37,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,300.78 : 115,949.70 = 24,710.27 : x
  2. Step 2: Convert to fraction form
    77,300.78/115,949.70 = 24,710.27/x
  3. Step 3: Cross multiply
    77,300.78x = 115,949.70 × 24,710.27
  4. Step 4: Simplify right side
    77,300.78x = 2,865,147,813.67
  5. Step 5: Solve for x
    x = 2,865,147,813.67/77,300.78
  6. Step 6: Final answer
    x = 37,064.93

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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.