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Finding the Fourth Proportional to 29,514.51, 40,730.46 and 16,085.72

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Solution

The fourth proportional to 29,514.51, 40,730.46 and 16,085.72 is: 22,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.51 : 40,730.46 = 16,085.72 : x
  2. Step 2: Convert to fraction form
    29,514.51/40,730.46 = 16,085.72/x
  3. Step 3: Cross multiply
    29,514.51x = 40,730.46 × 16,085.72
  4. Step 4: Simplify right side
    29,514.51x = 655,178,571.38
  5. Step 5: Solve for x
    x = 655,178,571.38/29,514.51
  6. Step 6: Final answer
    x = 22,198.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.