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Finding the Fourth Proportional to 75,661.56, 104,411.43 and 47,382.84

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Solution

The fourth proportional to 75,661.56, 104,411.43 and 47,382.84 is: 65,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,661.56 : 104,411.43 = 47,382.84 : x
  2. Step 2: Convert to fraction form
    75,661.56/104,411.43 = 47,382.84/x
  3. Step 3: Cross multiply
    75,661.56x = 104,411.43 × 47,382.84
  4. Step 4: Simplify right side
    75,661.56x = 4,947,310,081.86
  5. Step 5: Solve for x
    x = 4,947,310,081.86/75,661.56
  6. Step 6: Final answer
    x = 65,387.37

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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.