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Finding the Fourth Proportional to 29,670.75, 40,945.64 and 16,422.75

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Solution

The fourth proportional to 29,670.75, 40,945.64 and 16,422.75 is: 22,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670.75 : 40,945.64 = 16,422.75 : x
  2. Step 2: Convert to fraction form
    29,670.75/40,945.64 = 16,422.75/x
  3. Step 3: Cross multiply
    29,670.75x = 40,945.64 × 16,422.75
  4. Step 4: Simplify right side
    29,670.75x = 672,439,927.20
  5. Step 5: Solve for x
    x = 672,439,927.20/29,670.75
  6. Step 6: Final answer
    x = 22,663.40

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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.