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Finding the Fourth Proportional to 75,978.24, 104,826.96 and 44,140.92

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Solution

The fourth proportional to 75,978.24, 104,826.96 and 44,140.92 is: 60,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978.24 : 104,826.96 = 44,140.92 : x
  2. Step 2: Convert to fraction form
    75,978.24/104,826.96 = 44,140.92/x
  3. Step 3: Cross multiply
    75,978.24x = 104,826.96 × 44,140.92
  4. Step 4: Simplify right side
    75,978.24x = 4,627,158,455.20
  5. Step 5: Solve for x
    x = 4,627,158,455.20/75,978.24
  6. Step 6: Final answer
    x = 60,901.10

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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.