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Finding the Fourth Proportional to 48,765.78, 73,148.70 and 11,829.78

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Solution

The fourth proportional to 48,765.78, 73,148.70 and 11,829.78 is: 17,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765.78 : 73,148.70 = 11,829.78 : x
  2. Step 2: Convert to fraction form
    48,765.78/73,148.70 = 11,829.78/x
  3. Step 3: Cross multiply
    48,765.78x = 73,148.70 × 11,829.78
  4. Step 4: Simplify right side
    48,765.78x = 865,333,028.29
  5. Step 5: Solve for x
    x = 865,333,028.29/48,765.78
  6. Step 6: Final answer
    x = 17,744.68

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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.