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Finding the Fourth Proportional to 29,458.72, 40,653.02 and 16,029.96

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Solution

The fourth proportional to 29,458.72, 40,653.02 and 16,029.96 is: 22,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458.72 : 40,653.02 = 16,029.96 : x
  2. Step 2: Convert to fraction form
    29,458.72/40,653.02 = 16,029.96/x
  3. Step 3: Cross multiply
    29,458.72x = 40,653.02 × 16,029.96
  4. Step 4: Simplify right side
    29,458.72x = 651,666,284.48
  5. Step 5: Solve for x
    x = 651,666,284.48/29,458.72
  6. Step 6: Final answer
    x = 22,121.34

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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.