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Finding the Fourth Proportional to 51,766.88, 77,652.04 and 14,323.81

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Solution

The fourth proportional to 51,766.88, 77,652.04 and 14,323.81 is: 21,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,766.88 : 77,652.04 = 14,323.81 : x
  2. Step 2: Convert to fraction form
    51,766.88/77,652.04 = 14,323.81/x
  3. Step 3: Cross multiply
    51,766.88x = 77,652.04 × 14,323.81
  4. Step 4: Simplify right side
    51,766.88x = 1,112,273,067.07
  5. Step 5: Solve for x
    x = 1,112,273,067.07/51,766.88
  6. Step 6: Final answer
    x = 21,486.19

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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.