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Finding the Fourth Proportional to 29,775.42, 41,090.16 and 16,347.54

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Solution

The fourth proportional to 29,775.42, 41,090.16 and 16,347.54 is: 22,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,775.42 : 41,090.16 = 16,347.54 : x
  2. Step 2: Convert to fraction form
    29,775.42/41,090.16 = 16,347.54/x
  3. Step 3: Cross multiply
    29,775.42x = 41,090.16 × 16,347.54
  4. Step 4: Simplify right side
    29,775.42x = 671,723,034.21
  5. Step 5: Solve for x
    x = 671,723,034.21/29,775.42
  6. Step 6: Final answer
    x = 22,559.65

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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.