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Finding the Fourth Proportional to 75,065, 103,591.02 and 41,076.46

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Solution

The fourth proportional to 75,065, 103,591.02 and 41,076.46 is: 56,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,065 : 103,591.02 = 41,076.46 : x
  2. Step 2: Convert to fraction form
    75,065/103,591.02 = 41,076.46/x
  3. Step 3: Cross multiply
    75,065x = 103,591.02 × 41,076.46
  4. Step 4: Simplify right side
    75,065x = 4,255,152,389.39
  5. Step 5: Solve for x
    x = 4,255,152,389.39/75,065
  6. Step 6: Final answer
    x = 56,686.24

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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.