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Finding the Fourth Proportional to 29,575.34, 40,813.70 and 16,146.48

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Solution

The fourth proportional to 29,575.34, 40,813.70 and 16,146.48 is: 22,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575.34 : 40,813.70 = 16,146.48 : x
  2. Step 2: Convert to fraction form
    29,575.34/40,813.70 = 16,146.48/x
  3. Step 3: Cross multiply
    29,575.34x = 40,813.70 × 16,146.48
  4. Step 4: Simplify right side
    29,575.34x = 658,997,590.78
  5. Step 5: Solve for x
    x = 658,997,590.78/29,575.34
  6. Step 6: Final answer
    x = 22,282.00

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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.