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Finding the Fourth Proportional to 29,490.98, 40,697.82 and 16,062.30

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Solution

The fourth proportional to 29,490.98, 40,697.82 and 16,062.30 is: 22,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490.98 : 40,697.82 = 16,062.30 : x
  2. Step 2: Convert to fraction form
    29,490.98/40,697.82 = 16,062.30/x
  3. Step 3: Cross multiply
    29,490.98x = 40,697.82 × 16,062.30
  4. Step 4: Simplify right side
    29,490.98x = 653,700,594.19
  5. Step 5: Solve for x
    x = 653,700,594.19/29,490.98
  6. Step 6: Final answer
    x = 22,166.12

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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.