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Finding the Fourth Proportional to 174,594, 261,849.48 and 48,231.45

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Solution

The fourth proportional to 174,594, 261,849.48 and 48,231.45 is: 72,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,594 : 261,849.48 = 48,231.45 : x
  2. Step 2: Convert to fraction form
    174,594/261,849.48 = 48,231.45/x
  3. Step 3: Cross multiply
    174,594x = 261,849.48 × 48,231.45
  4. Step 4: Simplify right side
    174,594x = 12,629,380,102.15
  5. Step 5: Solve for x
    x = 12,629,380,102.15/174,594
  6. Step 6: Final answer
    x = 72,335.71

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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.