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Finding the Fourth Proportional to 76,890.36, 106,109.46 and 42,898.56

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Solution

The fourth proportional to 76,890.36, 106,109.46 and 42,898.56 is: 59,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,890.36 : 106,109.46 = 42,898.56 : x
  2. Step 2: Convert to fraction form
    76,890.36/106,109.46 = 42,898.56/x
  3. Step 3: Cross multiply
    76,890.36x = 106,109.46 × 42,898.56
  4. Step 4: Simplify right side
    76,890.36x = 4,551,943,036.38
  5. Step 5: Solve for x
    x = 4,551,943,036.38/76,890.36
  6. Step 6: Final answer
    x = 59,200.44

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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.