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Finding the Fourth Proportional to 76,907.66, 106,128.50 and 43,371.50

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Solution

The fourth proportional to 76,907.66, 106,128.50 and 43,371.50 is: 59,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,907.66 : 106,128.50 = 43,371.50 : x
  2. Step 2: Convert to fraction form
    76,907.66/106,128.50 = 43,371.50/x
  3. Step 3: Cross multiply
    76,907.66x = 106,128.50 × 43,371.50
  4. Step 4: Simplify right side
    76,907.66x = 4,602,952,237.75
  5. Step 5: Solve for x
    x = 4,602,952,237.75/76,907.66
  6. Step 6: Final answer
    x = 59,850.37

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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.