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Finding the Fourth Proportional to 75,792.38, 104,592.06 and 41,804.03

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Solution

The fourth proportional to 75,792.38, 104,592.06 and 41,804.03 is: 57,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,792.38 : 104,592.06 = 41,804.03 : x
  2. Step 2: Convert to fraction form
    75,792.38/104,592.06 = 41,804.03/x
  3. Step 3: Cross multiply
    75,792.38x = 104,592.06 × 41,804.03
  4. Step 4: Simplify right side
    75,792.38x = 4,372,369,875.48
  5. Step 5: Solve for x
    x = 4,372,369,875.48/75,792.38
  6. Step 6: Final answer
    x = 57,688.78

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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.