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Finding the Fourth Proportional to 51,390.54, 77,093.10 and 15,854.82

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Solution

The fourth proportional to 51,390.54, 77,093.10 and 15,854.82 is: 23,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,390.54 : 77,093.10 = 15,854.82 : x
  2. Step 2: Convert to fraction form
    51,390.54/77,093.10 = 15,854.82/x
  3. Step 3: Cross multiply
    51,390.54x = 77,093.10 × 15,854.82
  4. Step 4: Simplify right side
    51,390.54x = 1,222,297,223.74
  5. Step 5: Solve for x
    x = 1,222,297,223.74/51,390.54
  6. Step 6: Final answer
    x = 23,784.48

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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.