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Finding the Fourth Proportional to 75,501.08, 104,192.19 and 41,509.81

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Solution

The fourth proportional to 75,501.08, 104,192.19 and 41,509.81 is: 57,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,501.08 : 104,192.19 = 41,509.81 : x
  2. Step 2: Convert to fraction form
    75,501.08/104,192.19 = 41,509.81/x
  3. Step 3: Cross multiply
    75,501.08x = 104,192.19 × 41,509.81
  4. Step 4: Simplify right side
    75,501.08x = 4,324,998,010.38
  5. Step 5: Solve for x
    x = 4,324,998,010.38/75,501.08
  6. Step 6: Final answer
    x = 57,283.92

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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.