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Finding the Fourth Proportional to 29,746.98, 41,051.38 and 16,318.92

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Solution

The fourth proportional to 29,746.98, 41,051.38 and 16,318.92 is: 22,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746.98 : 41,051.38 = 16,318.92 : x
  2. Step 2: Convert to fraction form
    29,746.98/41,051.38 = 16,318.92/x
  3. Step 3: Cross multiply
    29,746.98x = 41,051.38 × 16,318.92
  4. Step 4: Simplify right side
    29,746.98x = 669,914,186.11
  5. Step 5: Solve for x
    x = 669,914,186.11/29,746.98
  6. Step 6: Final answer
    x = 22,520.41

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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.