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Finding the Fourth Proportional to 34,410.76, 47,177.69 and 33,788.68

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Solution

The fourth proportional to 34,410.76, 47,177.69 and 33,788.68 is: 46,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410.76 : 47,177.69 = 33,788.68 : x
  2. Step 2: Convert to fraction form
    34,410.76/47,177.69 = 33,788.68/x
  3. Step 3: Cross multiply
    34,410.76x = 47,177.69 × 33,788.68
  4. Step 4: Simplify right side
    34,410.76x = 1,594,071,870.55
  5. Step 5: Solve for x
    x = 1,594,071,870.55/34,410.76
  6. Step 6: Final answer
    x = 46,324.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.