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Finding the Fourth Proportional to 34,093.80, 51,143.65 and 10,406.68

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Solution

The fourth proportional to 34,093.80, 51,143.65 and 10,406.68 is: 15,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,093.80 : 51,143.65 = 10,406.68 : x
  2. Step 2: Convert to fraction form
    34,093.80/51,143.65 = 10,406.68/x
  3. Step 3: Cross multiply
    34,093.80x = 51,143.65 × 10,406.68
  4. Step 4: Simplify right side
    34,093.80x = 532,235,445.71
  5. Step 5: Solve for x
    x = 532,235,445.71/34,093.80
  6. Step 6: Final answer
    x = 15,610.92

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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.