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Finding the Fourth Proportional to 103,884.92, 155,704.32 and 47,677.66

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Solution

The fourth proportional to 103,884.92, 155,704.32 and 47,677.66 is: 71,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,884.92 : 155,704.32 = 47,677.66 : x
  2. Step 2: Convert to fraction form
    103,884.92/155,704.32 = 47,677.66/x
  3. Step 3: Cross multiply
    103,884.92x = 155,704.32 × 47,677.66
  4. Step 4: Simplify right side
    103,884.92x = 7,423,617,629.49
  5. Step 5: Solve for x
    x = 7,423,617,629.49/103,884.92
  6. Step 6: Final answer
    x = 71,460.01

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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.