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Finding the Fourth Proportional to 76,161.38, 105,088.12 and 49,300.16

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Solution

The fourth proportional to 76,161.38, 105,088.12 and 49,300.16 is: 68,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,161.38 : 105,088.12 = 49,300.16 : x
  2. Step 2: Convert to fraction form
    76,161.38/105,088.12 = 49,300.16/x
  3. Step 3: Cross multiply
    76,161.38x = 105,088.12 × 49,300.16
  4. Step 4: Simplify right side
    76,161.38x = 5,180,860,481.41
  5. Step 5: Solve for x
    x = 5,180,860,481.41/76,161.38
  6. Step 6: Final answer
    x = 68,024.78

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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.