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Finding the Fourth Proportional to 75,746.77, 104,525.84 and 41,753.50

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Solution

The fourth proportional to 75,746.77, 104,525.84 and 41,753.50 is: 57,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,746.77 : 104,525.84 = 41,753.50 : x
  2. Step 2: Convert to fraction form
    75,746.77/104,525.84 = 41,753.50/x
  3. Step 3: Cross multiply
    75,746.77x = 104,525.84 × 41,753.50
  4. Step 4: Simplify right side
    75,746.77x = 4,364,319,660.44
  5. Step 5: Solve for x
    x = 4,364,319,660.44/75,746.77
  6. Step 6: Final answer
    x = 57,617.24

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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.