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Finding the Fourth Proportional to 34,024, 46,958.16 and 19,884.64

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Solution

The fourth proportional to 34,024, 46,958.16 and 19,884.64 is: 27,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024 : 46,958.16 = 19,884.64 : x
  2. Step 2: Convert to fraction form
    34,024/46,958.16 = 19,884.64/x
  3. Step 3: Cross multiply
    34,024x = 46,958.16 × 19,884.64
  4. Step 4: Simplify right side
    34,024x = 933,746,106.66
  5. Step 5: Solve for x
    x = 933,746,106.66/34,024
  6. Step 6: Final answer
    x = 27,443.75

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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.