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Finding the Fourth Proportional to 77,113.54, 106,428.09 and 48,821.86

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Solution

The fourth proportional to 77,113.54, 106,428.09 and 48,821.86 is: 67,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,113.54 : 106,428.09 = 48,821.86 : x
  2. Step 2: Convert to fraction form
    77,113.54/106,428.09 = 48,821.86/x
  3. Step 3: Cross multiply
    77,113.54x = 106,428.09 × 48,821.86
  4. Step 4: Simplify right side
    77,113.54x = 5,196,017,310.05
  5. Step 5: Solve for x
    x = 5,196,017,310.05/77,113.54
  6. Step 6: Final answer
    x = 67,381.39

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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.