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Finding the Fourth Proportional to 75,176.63, 103,683.89 and 48,321.89

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Solution

The fourth proportional to 75,176.63, 103,683.89 and 48,321.89 is: 66,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176.63 : 103,683.89 = 48,321.89 : x
  2. Step 2: Convert to fraction form
    75,176.63/103,683.89 = 48,321.89/x
  3. Step 3: Cross multiply
    75,176.63x = 103,683.89 × 48,321.89
  4. Step 4: Simplify right side
    75,176.63x = 5,010,201,285.74
  5. Step 5: Solve for x
    x = 5,010,201,285.74/75,176.63
  6. Step 6: Final answer
    x = 66,645.73

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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.