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Finding the Fourth Proportional to 77,282.94, 115,903.00 and 27,356.47

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Solution

The fourth proportional to 77,282.94, 115,903.00 and 27,356.47 is: 41,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282.94 : 115,903.00 = 27,356.47 : x
  2. Step 2: Convert to fraction form
    77,282.94/115,903.00 = 27,356.47/x
  3. Step 3: Cross multiply
    77,282.94x = 115,903.00 × 27,356.47
  4. Step 4: Simplify right side
    77,282.94x = 3,170,696,686.85
  5. Step 5: Solve for x
    x = 3,170,696,686.85/77,282.94
  6. Step 6: Final answer
    x = 41,027.12

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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.