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Finding the Fourth Proportional to 75,374.94, 113,064.84 and 37,914.57

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Solution

The fourth proportional to 75,374.94, 113,064.84 and 37,914.57 is: 56,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374.94 : 113,064.84 = 37,914.57 : x
  2. Step 2: Convert to fraction form
    75,374.94/113,064.84 = 37,914.57/x
  3. Step 3: Cross multiply
    75,374.94x = 113,064.84 × 37,914.57
  4. Step 4: Simplify right side
    75,374.94x = 4,286,804,790.72
  5. Step 5: Solve for x
    x = 4,286,804,790.72/75,374.94
  6. Step 6: Final answer
    x = 56,873.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.