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Finding the Fourth Proportional to 34,792.65, 52,182.96 and 9,826.86

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Solution

The fourth proportional to 34,792.65, 52,182.96 and 9,826.86 is: 14,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792.65 : 52,182.96 = 9,826.86 : x
  2. Step 2: Convert to fraction form
    34,792.65/52,182.96 = 9,826.86/x
  3. Step 3: Cross multiply
    34,792.65x = 52,182.96 × 9,826.86
  4. Step 4: Simplify right side
    34,792.65x = 512,794,642.31
  5. Step 5: Solve for x
    x = 512,794,642.31/34,792.65
  6. Step 6: Final answer
    x = 14,738.59

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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.