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Finding the Fourth Proportional to 75,792.91, 104,595.05 and 41,802.84

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Solution

The fourth proportional to 75,792.91, 104,595.05 and 41,802.84 is: 57,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,792.91 : 104,595.05 = 41,802.84 : x
  2. Step 2: Convert to fraction form
    75,792.91/104,595.05 = 41,802.84/x
  3. Step 3: Cross multiply
    75,792.91x = 104,595.05 × 41,802.84
  4. Step 4: Simplify right side
    75,792.91x = 4,372,370,139.94
  5. Step 5: Solve for x
    x = 4,372,370,139.94/75,792.91
  6. Step 6: Final answer
    x = 57,688.38

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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.