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Finding the Fourth Proportional to 103,881.92, 155,699.82 and 47,674.66

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Solution

The fourth proportional to 103,881.92, 155,699.82 and 47,674.66 is: 71,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,881.92 : 155,699.82 = 47,674.66 : x
  2. Step 2: Convert to fraction form
    103,881.92/155,699.82 = 47,674.66/x
  3. Step 3: Cross multiply
    103,881.92x = 155,699.82 × 47,674.66
  4. Step 4: Simplify right side
    103,881.92x = 7,422,935,980.56
  5. Step 5: Solve for x
    x = 7,422,935,980.56/103,881.92
  6. Step 6: Final answer
    x = 71,455.51

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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.