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Finding the Fourth Proportional to 75,029.94, 103,541.34 and 41,037.84

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Solution

The fourth proportional to 75,029.94, 103,541.34 and 41,037.84 is: 56,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,029.94 : 103,541.34 = 41,037.84 : x
  2. Step 2: Convert to fraction form
    75,029.94/103,541.34 = 41,037.84/x
  3. Step 3: Cross multiply
    75,029.94x = 103,541.34 × 41,037.84
  4. Step 4: Simplify right side
    75,029.94x = 4,249,112,944.31
  5. Step 5: Solve for x
    x = 4,249,112,944.31/75,029.94
  6. Step 6: Final answer
    x = 56,632.23

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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.