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Finding the Fourth Proportional to 77,096.52, 106,354.22 and 51,603.96

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Solution

The fourth proportional to 77,096.52, 106,354.22 and 51,603.96 is: 71,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,096.52 : 106,354.22 = 51,603.96 : x
  2. Step 2: Convert to fraction form
    77,096.52/106,354.22 = 51,603.96/x
  3. Step 3: Cross multiply
    77,096.52x = 106,354.22 × 51,603.96
  4. Step 4: Simplify right side
    77,096.52x = 5,488,298,914.71
  5. Step 5: Solve for x
    x = 5,488,298,914.71/77,096.52
  6. Step 6: Final answer
    x = 71,187.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.