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Finding the Fourth Proportional to 76,887.36, 106,105.32 and 42,895.56

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Solution

The fourth proportional to 76,887.36, 106,105.32 and 42,895.56 is: 59,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,887.36 : 106,105.32 = 42,895.56 : x
  2. Step 2: Convert to fraction form
    76,887.36/106,105.32 = 42,895.56/x
  3. Step 3: Cross multiply
    76,887.36x = 106,105.32 × 42,895.56
  4. Step 4: Simplify right side
    76,887.36x = 4,551,447,120.38
  5. Step 5: Solve for x
    x = 4,551,447,120.38/76,887.36
  6. Step 6: Final answer
    x = 59,196.30

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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.