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Finding the Fourth Proportional to 75,792.78, 104,594.76 and 41,802.57

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Solution

The fourth proportional to 75,792.78, 104,594.76 and 41,802.57 is: 57,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,792.78 : 104,594.76 = 41,802.57 : x
  2. Step 2: Convert to fraction form
    75,792.78/104,594.76 = 41,802.57/x
  3. Step 3: Cross multiply
    75,792.78x = 104,594.76 × 41,802.57
  4. Step 4: Simplify right side
    75,792.78x = 4,372,329,776.53
  5. Step 5: Solve for x
    x = 4,372,329,776.53/75,792.78
  6. Step 6: Final answer
    x = 57,687.95

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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.