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Finding the Fourth Proportional to 29,470.68, 44,206.02 and 9,743.94

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Solution

The fourth proportional to 29,470.68, 44,206.02 and 9,743.94 is: 14,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470.68 : 44,206.02 = 9,743.94 : x
  2. Step 2: Convert to fraction form
    29,470.68/44,206.02 = 9,743.94/x
  3. Step 3: Cross multiply
    29,470.68x = 44,206.02 × 9,743.94
  4. Step 4: Simplify right side
    29,470.68x = 430,740,806.52
  5. Step 5: Solve for x
    x = 430,740,806.52/29,470.68
  6. Step 6: Final answer
    x = 14,615.91

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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.