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Finding the Fourth Proportional to 75,257.57, 112,892.49 and 37,798.35

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Solution

The fourth proportional to 75,257.57, 112,892.49 and 37,798.35 is: 56,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,257.57 : 112,892.49 = 37,798.35 : x
  2. Step 2: Convert to fraction form
    75,257.57/112,892.49 = 37,798.35/x
  3. Step 3: Cross multiply
    75,257.57x = 112,892.49 × 37,798.35
  4. Step 4: Simplify right side
    75,257.57x = 4,267,149,849.39
  5. Step 5: Solve for x
    x = 4,267,149,849.39/75,257.57
  6. Step 6: Final answer
    x = 56,700.61

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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.