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Finding the Fourth Proportional to 51,383.95, 77,023.71 and 34,745.87

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Solution

The fourth proportional to 51,383.95, 77,023.71 and 34,745.87 is: 52,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383.95 : 77,023.71 = 34,745.87 : x
  2. Step 2: Convert to fraction form
    51,383.95/77,023.71 = 34,745.87/x
  3. Step 3: Cross multiply
    51,383.95x = 77,023.71 × 34,745.87
  4. Step 4: Simplify right side
    51,383.95x = 2,676,255,814.58
  5. Step 5: Solve for x
    x = 2,676,255,814.58/51,383.95
  6. Step 6: Final answer
    x = 52,083.50

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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.