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Finding the Fourth Proportional to 27,169.63, 40,746.54 and 10,525.95

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Solution

The fourth proportional to 27,169.63, 40,746.54 and 10,525.95 is: 15,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,169.63 : 40,746.54 = 10,525.95 : x
  2. Step 2: Convert to fraction form
    27,169.63/40,746.54 = 10,525.95/x
  3. Step 3: Cross multiply
    27,169.63x = 40,746.54 × 10,525.95
  4. Step 4: Simplify right side
    27,169.63x = 428,896,082.19
  5. Step 5: Solve for x
    x = 428,896,082.19/27,169.63
  6. Step 6: Final answer
    x = 15,785.87

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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.