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Finding the Fourth Proportional to 76,873.50, 106,085.43 and 41,545.50

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Solution

The fourth proportional to 76,873.50, 106,085.43 and 41,545.50 is: 57,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,873.50 : 106,085.43 = 41,545.50 : x
  2. Step 2: Convert to fraction form
    76,873.50/106,085.43 = 41,545.50/x
  3. Step 3: Cross multiply
    76,873.50x = 106,085.43 × 41,545.50
  4. Step 4: Simplify right side
    76,873.50x = 4,407,372,232.07
  5. Step 5: Solve for x
    x = 4,407,372,232.07/76,873.50
  6. Step 6: Final answer
    x = 57,332.79

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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.