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Finding the Fourth Proportional to 30,790.47, 42,490.82 and 16,643.32

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Solution

The fourth proportional to 30,790.47, 42,490.82 and 16,643.32 is: 22,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.47 : 42,490.82 = 16,643.32 : x
  2. Step 2: Convert to fraction form
    30,790.47/42,490.82 = 16,643.32/x
  3. Step 3: Cross multiply
    30,790.47x = 42,490.82 × 16,643.32
  4. Step 4: Simplify right side
    30,790.47x = 707,188,249.70
  5. Step 5: Solve for x
    x = 707,188,249.70/30,790.47
  6. Step 6: Final answer
    x = 22,967.76

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